Must know high school geometry

Ma, Allen. (Author). Kuang, Amber. (Added Author).

Book - 2019

516 Ma

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Community Centre	Adult	516 Ma	Available

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Subject

Geometry > Problems, exercises, etc.
Geometry > Study and teaching (Secondary)

Genre

Problems and exercises.

ISBN: 9781260454284
Physical Description vii, 475 pages : illustrations ; 24 cm
Publisher [Place of publication not identified] : [publisher not identified], 2019.

Content descriptions

Formatted Contents Note:

Definitions -- Triangle proofs -- Classifying triangles -- Centers of a triangle -- Similarity -- Getting to know right triangles -- Parallel lines -- Parallelograms -- Coordinate geometry -- Transformations -- Circle theorems involving angles and segments -- Circumference and the area of circles -- Volumes of three-dimensional shapes -- Constructions.

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Table of Contents

Syndetic Solutions - Table of Contents for ISBN Number 9781260454284

Must Know High School Geometry

by Ma, Allen; Kuang, Amber

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Summary

Table of Contents

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Must Know High School Geometry

Section	Section Description	Page Number
	Introduction	p. 1
	The Flashcard App	p. 3
1	Definitions	p. 5
	The Basics	p. 6
	Bisectors and Midpoints	p. 7
	Types of Angles	p. 13
	Reflexive, Substitution, and Transitive Property	p. 19
	Addition and Subtraction Postulate	p. 20
2	Triangle Proofs	p. 27
	Side-Side-Side Postulate for Proving Triangles Congruent	p. 30
	Side-Angle-Side Postulate for Proving Triangles Congruent	p. 32
	Angle-Side-Angle Postulate for Proving Triangles Congruent	p. 34
	Angle-Angle-Side Postulate for Proving Triangles Congruent	p. 37
	Why Is Side-Side-Angle Not a Postulate for Proving Triangles Congruent?	p. 39
	Why Is Angle-Angle-Angle Not a Postulate for Proving Triangles Congruent?	p. 40
	Hypotenuse-Leg Postulate for Proving Triangles Congruent	p. 41
	Corresponding Parts of Congruent Triangles Are Congruent	p. 46
3	Classifying Triangles	p. 57
	Solving for the Angles in a Triangle	p. 58
	Exterior Angle Theorem	p. 59
	Classifying Triangles by Angle Measurements	p. 62
	Isosceles, Equilateral, and Scalene Triangles	p. 66
	Relationships of the Sides and Angles of Triangles	p. 73
	Median, Altitude, and Angle Bisector	p. 76
4	Centers of a Triangle	p. 93
	Centroid of a Triangle	p. 94
	The Incenter of a Triangle	p. 96
	The Orthocenter of a Triangle	p. 99
	The Circumcenter of a Triangle	p. 100
	The Euler Line	p. 104
5	Similarity	p. 109
	Proportions in Similar Triangles	p. 111
	Determining Whether Triangles Are Similar	p. 114
	Perimeter and Area of Similar Triangles	p. 116
	Parallel Lines Inside a Triangle	p. 118
	Proportions of Similar Right Triangles	p. 123
	Similar Triangle Proofs	p. 126
6	Getting to Know Right Triangles	p. 137
	The Pythagorean Theorem	p. 138
	Pythagorean Triples	p. 142
	Special Right Triangles	p. 142
	Right Triangle Trigonometry	p. 152
	Word Problems	p. 157
7	Parallel Lines	p. 165
	Alternate Interior Angles	p. 166
	Corresponding Angles	p. 169
	Alternate Exterior, Same-Side
	Interior, and Same-Side Exterior Angles	p. 172
	Auxiliary Lines	p. 176
	Proving That the Sum of the Angles of a Triangle Is 180Â°	p. 179
	Determining if Lines Are Parallel	p. 180
8	Parallelograms	p. 191
	Rectangles	p. 197
	Rhombuses	p. 200
	Squares	p. 202
	Trapezoids	p. 206
	Median of a Trapezoid	p. 209
9	Coordinate Geometry	p. 215
	Distance Formula	p. 218
	Using the Distance Formula to Classify Shapes	p. 219
	Midpoint Formula	p. 222
	Slope Formula	p. 225
	Writing the Equations of Parallel and Perpendicular Lines	p. 235
	Partitioning a Line Segment	p. 237
10	Transformations	p. 245
	Reflections	p. 246
	Reflection Over the Y-Axis	p. 246
	Reflection Over the X-Axis	p. 248
	Reflection Over the Line y = x	p. 249
	Reflecting a Point Over Horizontal and Vertical Lines	p. 250
	Reflecting a Point Over an Oblique Line	p. 252
	Finding the Equation for the Line of Reflection	p. 256
	Point Reflections	p. 258
	Rotations	p. 258
	Summary of Rules for Rotations with the Center of Rotation at the Origin	p. 259
	Rotation with Center of Rotation Not at the Origin	p. 260
	Translations	p. 262
	Dilation	p. 264
	Dilations Not Centered at the Origin	p. 268
	Composition of Transformations	p. 273
11	Circle Theorems Involving Angels and Segments	p. 281
	Definition of Terms Related to a Circle	p. 282
	Lengths of Intersecting Chords	p. 287
	Finding the Length of Secant Segments	p. 289
	Length of Tangent-Secant Segments from an External Point	p. 292
	Angles Associated with the Circle	p. 293
	Central Angle	p. 293
	Inscribed Angle	p. 294
	Angle Formed by Two Intersecting Chords	p. 296
	Exterior Angles of a Circle	p. 298
12	Circumference and the Area of Circles	p. 303
	Finding the Area of a Sector	p. 305
	Finding the Length of the Arc of a Sector	p. 309
	Standard Form of a Circle	p. 313
	General Form of a Circle	p. 314
	Graphing a Circle on the Coordinate Plane	p. 316
13	Volume of Three-Dimensional Shapes	p. 323
	Cones	p. 324
	Cylinders	p. 326
	Prisms	p. 329
	Square Pyramids	p. 334
	Spheres	p. 336
	From 2D to 3D	p. 337
14	Constructions	p. 347
	Copying Segments and Angles	p. 348
	Bisectors and Perpendicular and Parallel Lines	p. 351
	Constructions Involving Perpendicular Lines	p. 353
	Constructing Parallel Lines	p. 357
	Construction Applications	p. 359
	Constructing an Altitude and a Median	p. 365
	Constructing a Square and Hexagon Inscribed in a Circle	p. 367
	Constructing Transformations	p. 370
	Answer Key	p. 385

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