PageSourceSearch

https://mrperezonlinemathtutor.com/geometry.html

html mrperezonlinemathtutor.com collected 2026-10-02 14:52:54 UTC 35,041 bytes, 451 lines download raw bytes

1<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
2<html xmlns="http://www.w3.org/1999/xhtml">
3<head><meta charset="utf-8"><!-- Google tag (gtag.js) -->
vendor: 63 bytes, line 3
3<script async src="https://www.googletagmanager.com/gtag/js?id=
3G-LF0H2QFC50
vendor: 11 bytes, line 3
3"></script>
3<script>
4  
vendor: 134 bytes, lines 4-8
4window.dataLayer = window.dataLayer || [];
5  function gtag(){dataLayer.push(arguments);}
6  gtag('js', new Date());
7
8  gtag('config', '
8G-LF0H2QFC50
vendor: 4 bytes, line 8
8');
9</script>
9
10	<title>INTERACTIVE GEOMETRY LESSONS IN POWERPOINT</title>
11	<meta name="keywords" content="math, lessons, powerpoint, geometry, algebra, theorems, postulates, proofs, triangles, quadrilaterals, polygons, circles, solids,  circle">
12</head>
13<body bgcolor="#FFFFCC">
14<p></p>
15
16<p align="center"><a href="DEMO-INTERACTION-STYLUS/index.html" target="_blank" title="Quick Interacting Guide">CLICK HERE FOR A DEMONSTRATION</a> OF<strong> HOW TO INTERACT </strong></p>
17
18<p align="center"><strong>WITH THESE LESSONS</strong> (Click inside the graphic and Press Play Arrow Button)</p>
19
20<p align="center">Scroll down to find the lessons</p>
21
22<hr />
23<h1 align="center">PLANE GEOMETRY</h1>
24
25<p align="center"><a href="FORMULAS-THEOREMS-2X2.pdf" target="_blank" title="Theorems and Postulates Concentrate">Most Important Geometric Theorems Postulates and Terms</a></p>
26
27<p align="center"><a href="Teoremas_Postulados_Terminos_Geometricos_PDF.pdf" target="_blank" title="Teoremas Postulados Términos Geométricos">Los m&aacute;s importantes Teoremas Postulados y T&eacute;rminos Geom&eacute;tricos</a></p>
28
29<p align="center"><a href="Formal_Geometry_videos_applets.html" target="_blank" title="Videos Applets or Dynamic Geometric Proofs">Videos of Geometric Dynamic Proofs Formally known as Interactive Applets no longer supported in browsers</a></p>
30
31<p align="center"><a href="geometry-lessons/Ti-nspire_CX_Texas_Instrument-Geometry-App_Intro/index.html" target="_blank" title="Graphing calculators and online applications to perform constructions">GRAPHING CALCULATOR AND ONLINE APPLICATIONS BRIEF GUIDE</a></p>
32
33<hr />
34<p></p>
35
36<table align="center" border="1" cellpadding="2" cellspacing="3" width="80%">
37	<tbody>
38		<tr>
39			<td>
40			<div align="center">
41			<p>CHAPTER 1</p>
42
43			<p>BASIC DEFINITIONS, ANGLE RELATIONSHIPS AND ANGLE PAIRS.</p>
44			</div>
45			</td>
46		</tr>
47		<tr>
48			<td>1.- <a href="geometry-lessons/1_1_intro_lines_points_planes/index.html" target="_blank" title="Basic Plane Geometry Definitions">Basic Geometric Definitions</a>: Lines, Angles, Planes, Segment Addition Postulate, Midpoint, Distance Formula.</td>
49		</tr>
50		<tr>
51			<td>2.- <a href="geometry-lessons/1_1_Complementary_Supplemantary_Congr/index.html" target="_blank" title="Angle Pairs: Complementary, Supplementary, Vertical and Linear Pair">Complementary, Supplementary, Linear Pair, and Vertical Angles:</a> Definitions and Algebraic Proofs with Geometry.</td>
52		</tr>
53		<tr>
54			<td>3.- <a href="geometry-lessons/1_1_Comp_Supl_Word_Prob/index.html" target="_blank" title="Word Problems with Angle Pairs: Complementary, Supplementary Angles.">Angle Pairs</a>: Complementary, and Supplementary Angles as Word Problems.</td>
55		</tr>
56		<tr>
57			<td>4.- <a href="geometry-lessons/1_1_Geolegs_Comp_Suppl/index.html" target="_blank" title="Angle Pairs with Geolegs">Angle Pairs with Geolegs (manipulatives hands on approach):</a> Complementary, Supplementary and Vertical Angles.</td>
58		</tr>
59		<tr>
60			<td>5.- <a href="geometry-lessons/1_2_Angles_in_Parallel_lines/index.html" target="_blank" title="Angle Pairs in Parallel Lines. Corresponding, Alternate Interior, Alternate Exterior and Consecutive Interior or Same Side Interior Angle Pairs in Parallel Lines Cut by a Transversal.">Angle Pairs in Parallel Lines:</a> Corresponding, Alternate Interior and Alternate Exterior, and Consecutive Interior Angles.</td>
61		</tr>
62		<tr>
63			<td>
64			<div align="center">
65			<p>CHAPTER 2</p>
66
67			<p>ANGLE RELATIONSHIPS IN PROOFS, INDUCTIVE AND DEDUCTIVE REASONING. SLOPE.</p>
68			</div>
69			</td>
70		</tr>
71		<tr>
72			<td>1a.- <a href="geometry-lessons/1_3_Inductive_vs_Deductive/index.html" target="_blank" title="Inductive vs. Deductive Reasoning. If-Then statements. Converse, Reciprocal, Inverse Statements. Laws of Syllogism and Detachment.">Inductive and Deductive Reasoning:</a> If - Then Statements, Law of Syllogism and Law of Detachment.</td>
73		</tr>
74		<tr>
75			<td>1b.- <a href="geometry-lessons/1_3_Inductive_vs_Deductive_Spanish" target="_blank" title="Introduccion al Razonamiento Inductivo y Deductivo: Enunciados Condicionales Si...Entonces sus enunciados conversos, reciprocos, contra positivos e inversos (si usamos proposicion todos son femeninos: Conversa, inversa, etc) ">Introduccion al Razonamiento Inductivo y Deductivo:</a>&nbsp;Enunciados Condicionales Si...Entonces sus enunciados conversos, reciprocos, contra positivos e inversos (si usamos proposicion todos son femeninos: Conversa, inversa, etc)</td>
76		</tr>
77		<tr>
78			<td>2.- <a href="geometry-lessons/1_3_proofs_segments_angle_relationships/index.html" target="_blank" title="Two Column Proofs involving Angle Pairs and Segment Addition Postulate.">Two Column Proofs Involving Segment and Angle Relationships:</a> Two Column Proofs,&nbsp; Flow Proofs and Paragraph Proofs with Segment Addition Postulate and Angle Pairs.</td>
79		</tr>
80		<tr>
81			<td>3.- <a href="geometry-lessons/1_2_Intro_slope_par_perp/index.html" target="_blank" title="An introduction to slope concept. Parallel, Skew and Perpendicular Lines and Planes.">Slope Introduction: </a>Slope of a Linear Equation. Horizontal, Vertical, Falling to the Right or to the Left. Parallel vs Skew Lines. Parallel and Perpendicular Planes.</td>
82		</tr>
83		<tr>
84			<td>
85			<div align="center">
86			<p>CHAPTER 3: TRIANGLES</p>
87
88			<p>
88PROVING TRIANGLES CONGRUENT AND TRIANGLE INEQUALITY.</p>
89			</div>
90			</td>
91		</tr>
92		<tr>
93			<td>1.-<a href="geometry-lessons/1_4_Proving_Congruent_Triangles/index.html" target="_blank" title="Using Algebra and Geometry to Prove Triangles Congruent. Proofs with Algebra and Geometry."> Proving Triangles Congruent:</a> Algebraic - Geometric Proofs to Prove Triangles Congruent.</td>
94		</tr>
95		<tr>
96			<td>2.- <a href="geometry-lessons/1_5_Proving_Congruent_SSS_SAS_ASA_AAS/index.html" target="_blank">Proving Triangles Congruent:</a> SSS, ASA, SAS, AND AAS.</td>
97		</tr>
98		<tr>
99			<td>3a.- <a href="geometry-lessons/1_7_Proofs_triangles_congruence/index.html" target="_blank" title="Two Column Proofs To Prove Triangles are Congruent using Congruence Theorems like SSS, ASA, AAS, and SAS.">Two Column Proofs Involving Triangle Congruence: </a>Two Column Proofs and Flow Proofs using Angle Relationships and SSS, ASA, SAS, and AAS.</td>
100		</tr>
101		<tr>
102			<td>3b.- <a href="geometry-lessons/1_7_Proofs_triangles_congruence_sp/index.html" target="_blank" title="Demostraciones Con Tablas de Dos Columnas con Enuanciados y Razones, Demostraciones de Flujo y Demostraciones de Parrafo involucrando Triangulos y Quadrilateros">Demostraciones Con Tablas de Dos Columnas con Enuanciados y Razones, Demostraciones de Flujo y Demostraciones de Parrafo involucrando Triangulos y Quadrilateros: </a>Usando los teoremas y postulados de LLL, LAL, ALA y AAL.</td>
103		</tr>
104		<tr>
105			<td>4.- <a href="geometry-lessons/1_6_Triangle_Inequality_Side_between/index.html" target="_blank" title="One and Two Triangle Inequality Theorems used to order sides and angles in ascending and descending order and more.">One and Two Triangle Inequality Theorems:</a> Ordering sides and Angles Using Triangle Inequality.</td>
106		</tr>
107		<tr>
108			<td>5.- <a href="geometry-lessons/1_5_b_congruence_statements-Review/index.html" target="_blank" title="Lesson Drilling Geometric Statements. How to Write Them and How to Interpret them.">Drilling in Geometric Statements:</a> Congruent Geometric Statements and How to Write them and Read them Properly.</td>
109		</tr>
110		<tr>
111			<td>6.- <a href="geometry-lessons/Proofs_by_Contradiction/index.html" target="_blank" title="Introduction to proofs by contradiction in paragraph format and two-column format">Introduction to proofs by contradiction in paragraph format and two-column format</a></td>
112		</tr>
113		<tr>
114			<td>
115			<div align="center">
116			<p>CHAPTER 4</p>
117
118			<p>QUADRILATERALS AND THEIR PROPERTIES IN GEOMETRIC AND ALGEBRAIC PROOFS.</p>
119			</div>
120			</td>
121		</tr>
122		<tr>
123			<td>1.- <a href="geometry-lessons/2_1_Quadrilaterals_Properties/index.html" target="_blank" title="A Review of Properties of Quadrilaterals from Regular Parallelograms to Special Quadrilaterals like squares, rhombi, rectangles and trapezoids.">Properties of Quadrilaterals:</a> Squares, Rhombi, Rectangles, Parallelograms and Trapezoids.</td>
124		</tr>
125		<tr>
126			<td>2.- <a href="geometry-lessons/2_1_1_Quadrilateral_Proiperties_Proofs_Transformations/index.html" target="_blank" title="Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations.">Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations.</a></td>
127		</tr>
128		<tr>
129			<td>3.- <a href="geometry-lessons/2_1_Segments_in_Parallelograms_Rectan/index.html" target="_blank" title="Problems involving angles and segments in regular parallelograms using algebra and plane geometry properties and theorems.">Segments and Angles in Parallelograms:</a> Problems Involving Angles and Segments in Regular Parallelograms and Rectangles.</td>
130		</tr>
131		<tr>
132			<td>4.- <a href="geometry-lessons/2_2_Segments_Rhombi_Squares/index.html" target="_blank" title="Problems that involve proofs with angles and segments in squares and rhombi.">Segments and Angles in Squares and Rhombi:</a> Problems that Include Angles and Segments in Squares and Rhombi.</td>
133		</tr>
134		<tr>
135			<td>5.- <a href="geometry-lessons/2_3_Segments_Trapezoids/index.html" target="_blank" title="Angles and Segments found in problems that involve regular and isosceles trapezoids.">Segments and Angles in Regular and Isosceles Trapezoids:</a> Problems Deal with Segments and Angles in Trapezoids.</td>
136		</tr>
137		<tr>
138			<td>6.- <a href="geometry-lessons/2_4_Proofs_quadrilaterals_and_triangles_together/index.html" target="_blank" title="Proofs involving triangles and quadrilaterals.">Two Column Proofs with Quadrilaterals and Triangles: </a>Solving Two Column Proofs and Flow Proofs Using Properties of Parallelograms and Quadrilaterals and Properties of Triangles to Prove Congruence Statements and Segment or Angle Relationships.</td>
139		</tr>
140		<tr>
141			<td>
142			<div align="center">
143			<p>INSIDE EACH LESSON YOU MAY DO AS THIS GRAPHIC SHOWS</p>
144			</div>
145
146			<div align="center">
147			<p><img height="499" src="directions-slides.png" width="701" /></p>
148
149			<p></p>
150
151			<hr />
152			<p>CHAPTER 5</p>
153
154			<p>PROPORTIONAL REASONING SIMILARITY AND TRIGONOMETRY.</p>
155			</div>
156			</td>
157		</tr>
158		<tr>
159			<td>1.- <a href="geometry-lessons/3_1_Similar_Triangles/index.html" target="_blank" title="Similarity applied to two triangles and cases of transversals to pairs of lines.">Similarity Theorems AA, SAS and AAA</a>. Similarity Applied to Two Triangles and Lines Cut by Transversals.</td>
160		</tr>
161		<tr>
162			<td>2.- <a href="geometry-lessons/3_1_Similar_Triangles2/index.html" target="_blank" title="Similarity applied to special segments in triangles. Segments such Medians, Altitudes, Angle and Perpendicular Bisectors.">
162Similarity Theorems Involving Special Segments In Triangles:</a> Atltitudes, Medians, Angle Bisectors and Perpendicular Bisectors Similarity Relationships in Triangles.</td>
163		</tr>
164		<tr>
165			<td>3.- <a href="geometry-lessons/3_2_Right_Trian_Simil/index.html" target="_blank" title="Right Triangle Similarity when an altitude is drawn from the right angle to the hypothenuse.">Similarity Applied in a Right Triangle:</a> Drawing a height to the Right Angle of A Right Triangle.</td>
166		</tr>
167		<tr>
168			<td>4.- <a href="geometry-lessons/3_1_Proofs_triangles_similarity/index.html" target="_blank" title="Proofs involving similarity in triangles.">Proofs in Two Column Format involving similarity in triangles.</a> Two Column Proofs and Flow Proofs for Similarity.</td>
169		</tr>
170		<tr>
171			<td>5.- <a href="Trigonometry_AP/1_1_Using_30_60_90_and_45_45_90_ratios/index.html" target="_blank" title="Special Right Triangles and their relationships in terms of angles and segments.">30&deg;-60&deg;-90&deg; and 45&deg;-45&deg;-90&deg; Triangles:</a> This lesson deals with special right triangles from the geometric informal proof to solution of some examples and very soon we are going to add suggested application problems. It has a set of videos to review concepts used in the proofs like special lines and segments in triangles, Pythagorean Theorem, and since browsers dropped the support for applets a few videos of applets than by themselves constitute a very robust dynamic geometric proof.</td>
172		</tr>
173		<tr>
174			<td>6.- <a href="geometry-lessons/Similarity-Right_Triangle_30-60-90/index.html" target="_blank" title="Similarity in Special Right Triangles">Similarity in Special Right Triangles using Dilations</a> Enrichment Lesson. See dilation lessons at bottom of this webpage before visiting this.</td>
175		</tr>
176		<tr>
177			<td>7.- <a href="Trigonometry_AP/1_2_Trigonometry_Problems/index.html" target="_blank" title="Right Triangle Trigonometry to find sides and angles involving sine, cosine and tangent.">Right Triangle Trigonometry: </a>Right Triangle Ratios of Sine, Cosine and Tangent Applied to Solutions of Problems Involving Segments and Angles.</td>
178		</tr>
179		<tr>
180			<td>8.- <a href="Trigonometry_AP/1_3_The_Law_of_Sines_and_Cosines/index.html" target="_blank" title="Trigonometry involving Laws of Sines and Cosines in Acute and Obtuse Triangles.">Laws of Sines and Cosines:</a> Trigonometry Applied to Acute and Obtuse Triangles Using the Laws of Sine and Cosine.</td>
181		</tr>
182		<tr>
183			<td>9.- <a href="Trigonometry_AP/1_10_RADIANS-VS-DEGREES_unit_circle_special_right_triangles_30-6-90_45-45-90/index.html" target="_blank" title="Trigonometry  learning about difference between radians and degrees related to concept of coterminal sides Radians and degrees in coterminal sides using special right triangles 30°- 60°-90°  and  45°-45°-90°.">Learning about angle measurement units:</a> Radians and degrees in coterminal sides using special right triangles 30&deg;- 60&deg;-90&deg; and 45&deg;-45&deg;-90&deg;</td>
184		</tr>
185		<tr>
186			<td>
187			<div align="center">
188			<p>CHAPTER 6</p>
189
190			<p>ANGLES, ARCS AND SEGMENTS IN CIRCLES.</p>
191			</div>
192			</td>
193		</tr>
194		<tr>
195			<td>1.- <a href="geometry-lessons/4_1_Central_Angles_and_Arcs/index.html" target="_blank" title="Arcs, Segments, Angles in Circles. Basic Definitions.">Basic Definitions For Circles: </a>Arcs, Chords, Central Angles, Inscribed Angles and Arc Addition Postulate.</td>
196		</tr>
197		<tr>
198			<td>2.- <a href="geometry-lessons/4_2_Congruent_Chords/index.html" target="_blank" title="Theorems involving congruent circles or individual circles and their chords, arcs and angles (central and inscribed)">Theorems Involving Congruent Chords and Intersecting Chords in Circles.</a> Applied to Individual Circles or Several Circles.</td>
199		</tr>
200		<tr>
201			<td>3.- <a href="geometry-lessons/4_3_Inscribed_Angles_and_Arcs/index.html" target="_blank" title="Problems applying Central and Inscribed Angles and some including Quadrilaterals to find segments, angles, and arcs.">Inscribed and Central Angles:</a> Problems that Focus in Inscribed and Central Angles Usings Triangles and Parallelograms.</td>
202		</tr>
203		<tr>
204			<td>4.- <a href="geometry-lessons/4_4_Arcs_and_Angles/index.html" target="_blank" title="Angles and Arcs created by segments that intersect inside, on or outside the circle: Secants and Tangents.">Arcs and Angles Formed by Secants, and Tangents in a Circle:</a> Segments that Give Place Secant and Tangents in Circles and the Angles and Arcs that They Form in the Circle Intersecting Inside, On or Outside the Circle.</td>
205		</tr>
206		<tr>
207			<td>5.-<a href="geometry-lessons/4_5_Segments_Tangents_and_Secants/index.html" target="_blank" title="Segments generated by chords, secants and tangents intersecting inside, outside or on the circle."> Segment Relationships Created by Chords, Secants and Tangents.</a> Chords, Secants and Tangents and the Segments that They Create When Intersecting Inside, On or Outside the Circle.</td>
208		</tr>
209		<tr>
210			<td>6 a1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1.">Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving angle and arc relationships with segments in circles.</a></td>
211		</tr>
212		<tr>
213			<td>6 a2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1_SP/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1.">Demostraciones Geom&eacute;tricas con rayos, cuerdas, tangentes, y secantes en relaciones angulares de &aacute;ngulo y arco en c&iacute;rculos.</a></td>
214		</tr>
215		<tr>
216			<td>6 b1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2/index.html" target="_blank" title="Proofs involving Circles and their chords, secants and tangents. Part 2.">Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving segment relationships in circles.&nbsp;</a></td>
217		</tr>
218		<tr>
219			<td>6 b2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2_SP/index.html" target="_blank" title="Demostraciones involucrando tangentes, secantes, cuerdas y ángulos en círculos.  Part 2.">Demostraciones involucrando tangentes, secantes, cuerdas y relaciones entre segmentos en c&iacute;rculos</a></td>
220		</tr>
221		<tr>
222			<td>6 c1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td>
223		</tr>
224		<tr>
225			<td>6 c2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td>
226		</tr>
227		<tr>
228			<td>6 c3.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs3_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 3 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 3 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td>
229		</tr>
230		<tr>
231			<td>
232			<div align="center">
233			<p>CHAPTER 7</p>
234
235			<p>AREAS IN POLYGONS (REGULAR AND IRREGULAR)</p>
236			</div>
237			</td>
238		</tr>
239		<tr>
240			<td>1.- <a href="geometry-lessons/5_1_Angle_Measure_in_Polygons/index.html" target="_blank" title="Interior and Exterior Angles in Polygons.">Angle Measure in Polygons:</a> Interior and Angles in Polygons.</td>
241		</tr>
242		<tr>
243			<td>2.- <a href="geometry-lessons/5_2_Areas_Paralleg_Rectang/index.html" target="_blank" title="Calculating Areas of Common Parallelograms and Rectangles.">Calculating Areas in Parallelograms and Rectangles.</a></td>
244		</tr>
245		<tr>
246			<td>3.- <a href="geometry-lessons/5_3_Areas_Rhombi_Trapezoid_and_Triang/index.html" target="_blank" title="Calculating Areas of Rhombi, Trapezoids (Regular and Isosceles) and Triangles.">Calculating Areas in Rhombi, Trapezoids and Triangles.</a></td>
247		</tr>
248		<tr>
249			<td>4.- <a href="geometry-lessons/5_4_Areas_Special_Triangles/index.html" target="_blank" title="Calculating Areas of Special Triangles. Involving Trigonometry, Special Right Triangles, and Pythagorean Theorem.">Areas of Triangles: Special Cases.</a> Involving Pythagorean Theorem, Special Right Triangles and Trigonometry.</td>
250		</tr>
251		<tr>
252			<td>5.- <a href="geometry-lessons/5_5_Areas_Regular_Polygons/index.html" target="_blank" title="Calculating Areas of Regular Polygons: Triangles, Squares, Pentagons, Hexagons, etc.">Calculating Areas of Regular Polygons:</a> Areas of Equilateral Triangles, Squares, Pentagons, Hexagons, etc.</td>
253		</tr>
254		<tr>
255			<td>
256			<div align="center">
257			<p>CHAPTER 8</p>
258
259			<p>SURFACE AREA AND VOLUME (PLATONIC SOLIDS)</p>
260			</div>
261			</td>
262		</tr>
263		<tr>
264			<td>1.- <a href="geometry-lessons/6_1_Surf_Area_Vol_Cylinders/index.html" target="_blank" title="Finding Surface Area and Volume of CYLINDERS.">Finding Surface Area and Volume of CYLINDERS.</a></td>
265		</tr>
266		<tr>
267			<td>2.- <a href="geometry-lessons/6_2_Surf_Area_Vol_Prisms/index.html" target="_blank" title="Finding Surface Area and Volume of PRISMS.">Finding Surface Area and Volume of PRISMS.</a></td>
268		</tr>
269		<tr>
270			<td>3.- <a href="geometry-lessons/6_2A_Prisms_Base_10_Blocks/index.html" target="_blank" title="Finding Surface Area and Volume of Solids Built with Base 10 Blocks.">Finding Surface Area and Volume of Solids Built with Base 10 Blocks.</a></td>
271		</tr>
272		<tr>
273			<td>4.- <a href="geometry-lessons/6_3_Surf_Area_Vol_Cones/index.html" target="_blank" title="Finding Surface Area and Volume of CONES.">Finding Surface Area and Volume of CONES.</a></td>
274		</tr>
275		<tr>
276			<td>5.- <a href="geometry-lessons/6_4_Surf_Area_Vol_Pyramids/index.html" target="_blank" title="Finding Surface Area and Volume of PYRAMIDS.">Finding Surface Area and Volume of PYRAMIDS.</a></td>
277		</tr>
278		<tr>
279			<td>6.- <a href="geometry-lessons/6_5_Surf_Area_Volu_Sphere/index.html" target="_blank" title="Finding Surface Area and Volume of SPHERES.">Finding Surface Area and Volume of SPHERES.</a></td>
280		</tr>
281		<tr>
282			<td>
283			<div align="center">
284			<p>CHAPTER 9</p>
285
286			<p>SURFACE AREA AND VOLUME COMPOSITE SOLIDS</p>
287
288			<p>PLATONIC SOLIDS TOGHETER AND/OR REMOVED ONE FROM THE OTHER</p>
289			</div>
290			</td>
291		</tr>
292		<tr>
293			<td>1.- <a href="geometry-lessons/7_1_Compostite_S.A._Volumes_Add_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Adding Solids.">Calculating Surface Area and Volume of Composite Solids by Adding Solids.</a></td>
294		</tr>
295		<tr>
296			<td>2.- <a href="geometry-lessons/7_2_Compostite_S.A._Volumes_Subtract_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Subtracting Solids.">Calculating Surface Area and Volume of Composite Solids by Subtracting Solids.</a></td>
297		</tr>
298		<tr>
299			<td>3.- <a href="geometry-lessons/7_3_Compostite_S.A._Volu_Add_Subtract_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Adding and Subtracting Solids.">Calculating Surface Area and Volume of Composite Solids by Adding and Subtracting Solids.</a></td>
300		</tr>
301		<tr>
302			<td>4.- <a href="geometry-lessons/7_4_Compostite_S.A._Volu_Add_Subtract_Solids_APPLICATION-PROBLEM/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids in buildings to estimate areas to give maintenance and volumes to dimension AC units for example. Applications in the machining shop.">Calculating Surface Area and Volume of Composite Solids in buildings to estimate areas to give maintenance and volumes to dimension AC units for example. Applications in the machining shop.</a></td>
303		</tr>
304		<tr>
305			<td>
306			<div align="center">
307			<p>CHAPTER 10</p>
308
309			<p>PLANE GEOMETRY AND CALCULUS IN SURFACE AREA AND VOLUME</p>
310
311			<p>OF SOLIDS OF REVOLUTION AND MATHEMATICAL MODELS INVOLVING SOLIDS.</p>
312			</div>
313			</td>
314		</tr>
315		<tr>
316			<td>1.- <a href="geometry-lessons/limits-geometry-vs-calculus-SURFACE-AREA/index.html" target="_blank" title="Surface Area of Solids of Revolution Using Plane Geometry and Calculus.">Surface Area of Solids of Revolution Using Plane Geometry and Calculus.</a></td>
317		</tr>
318		<tr>
319			<td>2.- <a href="geometry-lessons/limits-geometry-vs-calculus-VOLUME/index.html" target="_blank" title="Volume of Solids of Revolution Using Plane Geometry and Calculus.">Volume of Solids of Revolution Using Plane Geometry and Calculus.</a></td>
320		</tr>
321		<tr>
322			<td>3.- <a href="geometry-lessons/solids-revolution-drill/index.html" target="_blank" title="Animation of Area Revolving and Forming a Solid Of Revolution.">Animation of Area Revolving and Forming a Solid Of Revolution.</a></td>
323		</tr>
324		<tr>
325			<td>4.- <a href="geometry-lessons/partial_solution_Quick_Bottle/index.html" target="_blank" title="Mathematical Modeling of Vases Filling with Color Water">Mathematical Modeling with Two Halves of a Bottle</a> Calculating Surface Area and Volume From the Math Model.</td>
326		</tr>
327		<tr>
328			<td>
329			<div align="center">
330			<p>CHAPTER 11</p>
331
332			<p>BASIC CONSTRUCTIONS AND TRANSFORMATIONS</p>
333
334			<p>WITH PLANE GEOMETRY AND THE COORDINATE PLANE.</p>
335			</div>
336			</td>
337		</tr>
338		<tr>
339			<td>1.-<a href="geometry-lessons/8_6_Basic_Constructions/index.html" target="_blank" title="Introduction to Basic Constructions Using Compass and Ruler or Straight Edge/Protractor.">Introduction to Basic Constructions Using Compass and Ruler or Straight Edge/Protractor.</a>&nbsp;This lesson takes you step by step (click by click) through the constructions.
339</td>
340		</tr>
341		<tr>
342		</tr>
343		<tr>
344			<td>2.-<a href="geometry-lessons/Constructions-compass-ruler_videos_1/index.html" target="_blank" title="Basic Construction Videos: Perpendicular Bisector and Perpendiculars to a point, Angle Bisector.">Basic Construction Videos: Perpendicular Bisector and Perpendiculars to a point, Angle Bisector.</a>&nbsp;These lessons are videos that may be paused or back/for-warded.</td>
345		</tr>
346		<tr>
347			<td>3.-<a href="geometry-lessons/Constructions-compass-ruler_videos_2/index.html" target="_blank" title="Basic Construction Videos: 30°, 45°, and 60° Angles, and Equilateral Equiangular Triangle.">Basic Construction Videos: 30&deg;, 45&deg;, and 60&deg; Angles, and Equilateral Equiangular Triangle.</a>&nbsp;These lessons are videos that may be paused or back/for-warded.</td>
348		</tr>
349		<tr>
350			<td>4.-<a href="geometry-lessons/Constructions-compass-ruler_videos_3/index.html" target="_blank" title="Basic Construction Videos: Parallel Lines, Regular Polygons (Equilateral Triangle and Hexagon)">Basic Construction Videos: Parallel Lines, Regular Polygons (Equilateral Triangle and Hexagon)</a>&nbsp;These lessons are videos that may be paused or back/for-warded.</td>
351		</tr>
352		<tr>
353			<td>5.- <a href="geometry-lessons/8_1_Incenter/index.html" target="_blank" title="Constructing a Triangle Circumscribing a Circle (Incenter)">Constructing a Triangle Circumscribing a Circle (Incenter)</a></td>
354		</tr>
355		<tr>
356			<td>6.- <a href="geometry-lessons/8_2_Circumcenter/index.html" target="_blank" title="Constructing a Circle Circumscribing a Triangle (Circumcenter)">Constructing a Circle Circumscribing a Triangle (Circumcenter)</a></td>
357		</tr>
358		<tr>
359			<td>7.- <a href="geometry-lessons/8_3_Translations/index.html" target="_blank" title="Translations with Plane Geometry.">Translations with Plane Geometry.</a></td>
360		</tr>
361		<tr>
362			<td>8.- <a href="geometry-lessons/8_5_Rotations/index.html" target="_blank" title="Rotations with Plane Geometry.">Rotations with Plane Geometry.</a></td>
363		</tr>
364		<tr>
365			<td>9.- <a href="geometry-lessons/8_4_Reflections/index.html" target="_blank" title="Reflections with Plane Geometry.">Reflections with Plane Geometry.</a></td>
366		</tr>
367		<tr>
368			<td>10.- <a href="geometry-lessons/8_3a_Translations_Coordinate_Plane/index.html" target="_blank" title="Translations in the Coordinate Plane.">Translations in the Coordinate Plane.</a></td>
369		</tr>
370		<tr>
371			<td>11.- <a href="geometry-lessons/8_5a_Rotations_Coordinate_Plane/index.html" target="_blank" title="Rotations in the Coordinate Plane.">Rotations in the Coordinate Plane.</a></td>
372		</tr>
373		<tr>
374			<td>12.- <a href="geometry-lessons/8_4a_Reflections_Coordinate_Plane/index.html" target="_blank" title="Reflections in the Coordinate Plane.">Reflections in the Coordinate Plane.</a></td>
375		</tr>
376		<tr>
377			<td>13.- <a href="geometry-lessons/Geoboard_Transformation_Activities/index.html" target="_blank" title="Hands-On Transformations Using Geoboards and the Coordinate Plane.">Hands-On Transformations Using Geoboards and the Coordinate Plane.</a></td>
378		</tr>
379		<tr>
380			<td>14.- <a href="geometry-lessons/STUDENT-ASSESSMENT/index.html" target="_blank" title="Using Technology and Mini Boards with 1/8 square Grid to Perform Animation of a Doll.">Using Technology and Mainboards with 1/8 square Grid to Perform Animation of a Doll.</a></td>
381		</tr>
382		<tr>
383			<td>15.- <a href="geometry-lessons/Rotations-app-plane-flight-prog3 MOVIE-FLIGHT-V1/index.html" target="_blank" title="Transformations application.">Transformations application.</a> Planes flying over yosemite national park</td>
384		</tr>
385		<tr>
386			<td>16.- <a href="geometry-lessons/Reflecting_figures_to_create_polygons/index.html" target="_blank" title="Reflecting half a polygon along its line of symmetry when reflected points can not be obtained by counting in the grid.">Reflecting half a polygon along its line of symmetry when reflected points can not be obtained by counting in the grid.</a></td>
387		</tr>
388		<tr>
389			<td>17.- <a href="geometry-lessons/8_7_Non_Congruent_Transformations_Dilations/index.html" target="_blank" title="Lesson about Non-Congruent Transformations or Dilations.">Lesson about Non-Congruent Transformations or Dilations. </a></td>
390		</tr>
391		<tr>
392			<td>18.- <a href="geometry-lessons/8_8_Composite_Translations/index.html" target="_blank" title="Lesson about composition of congruent transformations.">Lesson about composition of congruent transformations.</a></td>
393		</tr>
394		<tr>
395			<td>
39519.- <a href="geometry-lessons/Rotational_Symmetry_Line_Symmetry/index.html" target="_blank" title="Lesson about Rotational Symmetry: Order of Rotational Symmetry, Line Symmetry, Point Symmetry on regular and irregular convex polygons inscribed to a circumscribed circle when possible.">Lesson about Rotational Symmetry: Order of Rotational Symmetry, Line Symmetry, Point Symmetry on regular and irregular convex.</a></td>
396		</tr>
397		<tr>
398			<td>20.- <a href="geometry-lessons/8_9_Applying_Proportional_Reasoning_in_a_Blueprint_printing/index.html" target="_blank" title="Lesson about an application to get a printout of a blueprint with the proper scale using PowerPoint or Google Earth and calculating the areas using Google Earth of a parcel and its structures">Lesson about an application to get a printout of a blueprint with the proper scale using PowerPoint or Google Earth and calculating the areas using Google Earth of a parcel and its structures</a></td>
399		</tr>
400		<tr>
401			<td>21.- <a href="geometry-lessons/Regular_polygons_by_approximation_touch_screen/index.html" target="_blank" title="templates_touch_screen_regular_polygons">Construct Regular Polygons by Approximation in a touch-screen with no compass needed.</a></td>
402		</tr>
403		<tr>
404			<td>22.- <a href="geometry-lessons/Non-digital_Compass_and_Ruler_constructions_mini_iPad_hands-on_kinesthetic-experience/index.html" target="_blank" title="Merging the digital tools of a mini-iPad with physical compass, ruler or straightedge and protractor in geometric constructions.">Videos about Merging the digital tools of a mini-iPad with physical compass, ruler or straightedge and protractor in geometric constructions.</a></td>
405		</tr>
406		<tr>
407			<td>23.- <a href="geometry-lessons/Constructions_Compass_Ruler_videos_proof_C-and-R/index.html" target="_blank" title="Performing proofs with compass and ruler and presenting afterwards of other proof formats.">Performing proofs with compass and ruler and presenting afterwards of other proof formats.</a></td>
408		</tr>
409	</tbody>
410</table>
411
412<p align="center"></p>
413
414<p align="center"><a href="geometry-lessons/DEMO-TOOLS/index.html" target="_blank" title="Long Interactive Guide">LONG DURATION DEMO OF HOW TO INTERACT</a> (Several Minutes but worthwhile)</p>
415
416<p align="center"><a href="https://mrperezonlinemathtutor.com/" title="MrPerezOnlineMathTutor.com">HOME</a></p>
417
418<div align="center">
419<table border="3" cellpadding="2" cellspacing="3" width="80%">
420	<tbody>
421		<tr>
422			<td>
423			<div align="center"><a href="algebra_1_and_2.html" target="_blank" title="Algebra 1&amp;2"><img alt="algebra 1 and 2" height="30" longdesc="Lessons in PowerPoint for Algebra 1 and 2" src="images1/ALGEBRA1-2.png" width="96" /></a></div>
424			</td>
425			<td>
426			<div align="center"><a href="geometry.html" target="_blank" title="Geometry"><img alt="Geometry" height="30" longdesc="Lessons in PowerPoint for Geometry" src="images1/GEOMETRY.png" width="96" /></a></div>
427
428			<div align="center"><a href="Formal_Geometry.html" target="_blank" title="Formal Geometry"><img alt="Formal Proofs for Geometry" height="30" longdesc="Concentration of formal proofs in geometry" src="images1/FORMAL_PROOFS_BUTTON.png" width="96" /></a></div>
429			</td>
430			<td>
431			<div align="center"><a href="basic-math-lessons.html" target="_blank" title="Basic Math"><img alt="Basic Math" height="30" longdesc="Lessons in PowerPoint for Basic Math" src="images1/BASICMATH.png" width="96" /></a></div>
432			</td>
433			<td>
434			<div align="center"><a href="Trigonometry.html" target="_blank" title="Trigonometry"><img alt="Trigonometry" height="30" longdesc="Lessons in PowerPoint for Trigonometry" src="images1/TRIGONOMETRY.png" width="96" /></a></div>
435			</td>
436			<td>
437			<div align="center"><a href="AP_Statistics.html" target="_blank" title="Statistics and Probability Introduction"><img alt="Ap_Statistics" height="30" longdesc="Lessons in PowerPoint for Statistics and Probability: Introductory Course." src="images1/STATISTICS-PROBABILITY.png" width="96" /></a></div>
438
439			<div align="center"><a href="Introduction_to_calculus.html" target="_blank" title="Calculus Introduction"><img alt="Introduction to Calculus" height="30" longdesc="Lessons intended to give a glimpse of Calculus to High Schoolers that have not gone through the subject." src="images1/CALCULUS.png" width="96" /></a></div>
440			</td>
441			<td>
442			<div align="center"><a href="geometry_quizzes.html" target="_blank" title="Simple Quizzes for Geometry"><img alt="Practice for Geometry: Quizzes" height="30" longdesc="Simple Quizzes for Geometry that go with the geometry section of this website" src="images1/GEOMETRYQUIZZES.png" width="96" /></a></div>
443			</td>
444		</tr>
445	</tbody>
446</table>
447</div>
448
449<p align="center"></p>
450</body>
451</html>

Line numbers count LF bytes from the start of the resource, as the search results do. Vendor segments are library code the classifier recognised; they are stored but not indexed. Bytes are shown as Latin1 characters, one per byte.