# Geometry Geometry

ISBN: 9780078296376 / 0078296374

### Chapter 1

Points, Lines, Planes And Angles

 1.1 Points, Lines & Planes Check for Understanding p.9 Practice and Apply p.9 1.2 Linear Measure and Precision Check for Understanding p.16 Practice and Apply p.17 Maintain Your Skills p.19 Practice Quiz 1 p.19 1.3 Distance and Midpoints Practice and Apply p.25 Check for Understanding p.25 Maintain Your Skills p.27 1.4 Angle Measure Check for Understanding p.33 Practice and Apply p.34 Practice Quiz 2 p.36 1.5 Angle Relationships Check for Understanding p.41 Practice and Apply p.42 Maintain Your Skills p.43 1.6 Polygons Check for Understanding p.48 Practice and Apply p.49 Maintain Your Skills p.50 Study Guide and Review p.53 Practice Test p.57 Standardized Test Practice p.58

### Chapter 2

Reasoning And Proof

 2.1 Inductive Reasoning and Conjecture Check for Understanding p.63 Practice and Apply p.64 2.2 Logic Maintain Your Skills p.66 Check for Understanding p.71 Practice and Apply p.72 Maintain Your Skills p.74 2.3 Conditional Statements Practice and Apply p.78 Check for Understanding p.78 Maintain Your Skills p.80 Practice Quiz 1 p.80 2.4 Deductive Reasoning Check for Understanding p.84 Practice and Apply p.85 Maintain Your Skills p.87 2.5 Postulates and Paragraph Proofs Check for Understanding p.91 Practice and Apply p.92 Maintain Your Skills p.93 2.6 Algebraic Proof Check for Understanding p.97 Practice and Apply p.97 Maintain Your Skills p.100 Practice Quiz 1 p.100 2.7 Proving Segment Relationships Check for Understanding p.103 Practice and Apply p.104 Maintain Your Skills p.106 2.8 Proving Angle Relationships Check for Understanding p.111 Practice and Apply p.112 Maintain Your Skills p.114 Study Guide and Review p.115 Practice Test p.121 Standardized Test Practice p.122

### Chapter 3

Parallel And Perpendicular Lines

 3.1 Parallel Lines and Transversals Check for Understanding p.128 Practice and Apply p.129 Maintain Your Skills p.131 3.2 Angles and Parallel Lines Practice and Apply p.136 Check for Understanding p.136 Maintain Your Skills p.138 Practice Quiz 1 p.138 3.3 Slopes of Lines Practice and Apply p.142 3.4 Equations of Lines Check for Understanding p.142 3.3 Slopes of Lines Maintain Your Skills p.144 3.4 Equations of Lines Check for Understanding p.147 Practice and Apply p.148 Maintain Your Skills p.150 Practice Quiz 2 p.150 3.5 Proving Lines Parallel Check for Understanding p.154 Practice and Apply p.155 Maintain Your Skills p.157 3.6 Perpendiculars and Distance Practice and Apply p.162 Check for Understanding p.162 Maintain Your Skills p.164 Study Guide and Review p.167 Practice Test p.171 Standardized Test Practice p.172

### Chapter 4

Congruent Triangles

 4.1 Classifying Triangles Check for Understanding p.180 Practice and Apply p.181 Maintain Your Skills p.183 4.2 Angles of Triangles Check for Understanding p.188 Practice and Apply p.189 Maintain Your Skills p.191 4.3 Congruent Triangles Check for Understanding p.195 Practice and Apply p.195 Maintain Your Skills p.198 Practice Quiz 1 p.198 4.4 Proving Congruence - SSS, SAS Check for Understanding p.203 Practice and Apply p.204 Maintain Your Skills p.206 4.5 Proving Congruence - ASA, AAS Check for Understanding p.210 Practice and Apply p.211 Maintain Your Skills p.213 4.6 Isosceles Triangles Check for Understanding p.219 Practice and Apply p.219 Maintain Your Skills p.221 Practice Quiz 2 p.221 4.7 Triangles and Coordinate Proof Practice and Apply p.224 Check for Understanding p.224 Maintain Your Skills p.226 Study Guide and Review p.227 Practice Test p.231 Standardized Test Practice p.232

### Chapter 5

Relationships In Triangles

 5.1 Bisectors, Medians and Altitudes Check for Understanding p.242 Practice and Apply p.243 Maintain Your Skills p.245 5.2 Inequalities and Triangles Check for Understanding p.251 Practice and Apply p.252 Maintain Your Skills p.254 Practice Quiz 1 p.254 5.3 Indirect Proof Check for Understanding p.257 Practice and Apply p.258 Maintain Your Skills p.260 5.4 The Triangle Inequality Check for Understanding p.263 5.3 Indirect Proof Practice and Apply p.264 5.4 The Triangle Inequality Maintain Your Skills p.266 Practice Quiz 2 p.266 5.5 Inequalities Involving Two Triangles Check for Understanding p.270 Practice and Apply p.271 Maintain Your Skills p.273 Study Guide and Review p.274 Practice Test p.277 Standardized Test Practice p.278

### Chapter 6

Proportions And Similarity

 6.1 Proportions Check for Understanding p.284 Practice and Apply p.285 Maintain Your Skills p.287 6.2 Similar Polygons Check for Understanding p.292 Practice and Apply p.293 297 p.297 6.3 Similar Triangles Check for Understanding p.301 Practice and Apply p.302 Maintain Your Skills p.306 Practice Quiz 1 p.306 6.4 Parallel Lines and Proportional Parts Check for Understanding p.311 Practice and Apply p.312 Maintain Your Skills p.315 6.5 Parts of Similar Triangles Check for Understanding p.319 Practice and Apply p.320 Maintain Your Skills p.323 Practice Quiz 2 p.323 6.6 Fractals and Self-Similarity Check for Understanding p.328 Practice and Apply p.328 Maintain Your Skills p.331 Study Guide and Review p.332 Practice Test p.337 Standardized Test Practice p.338

### Chapter 7

Right Triangles And Trigonometry

 7.1 Geometric Mean Check for Understanding p.345 Practice and Apply p.346 Maintain Your Skills p.348 7.2 The Pythagorean Theorem and Its Converse Check for Understanding p.353 Practice and Apply p.354 Maintain Your Skills p.356 7.3 Special Right Triangles Check for Understanding p.360 Practice and Apply p.360 Maintain Your Skills p.363 Practice Quiz 1 p.363 7.4 Trigonometry Check for Understanding p.367 Practice and Apply p.368 Maintain Your Skills p.370 7.5 Angles of Elevation and Depression Check for Understanding p.373 Maintain Your Skills p.376 7.6 The Law of Sines Check for Understanding p.380 Practice and Apply p.381 Maintain Your Skills p.383 Practice Quiz 2 p.383 7.7 The Law of Cosines Check for Understanding p.387 Practice and Apply p.388 Maintain Your Skills p.390 Study Guide and Review p.392 Practice Test p.397 Standardized Test Practice p.398

### Chapter 8

 8.1 Angles of Polygons Check for Understanding p.407 Practice and Apply p.407 Maintain Your Skills p.409 8.2 Parallelograms Check for Understanding p.414 Practice and Apply p.415 Maintain Your Skills p.416 8.3 Tests for Parallelograms Check for Understanding p.420 Practice and Apply p.421 Practice Quiz 1 p.423 Maintain Your Skills p.423 8.4 Rectangles Check for Understanding p.427 Practice and Apply p.428 Maintain Your Skills p.430 8.5 Rhombi and Squares Practice and Apply p.434 Check for Understanding p.434 Maintain Your Skills p.437 8.6 Trapezoids Check for Understanding p.442 Practice and Apply p.442 Maintain Your Skills p.445 Practice Quiz 2 p.445 8.7 Coordinate Proof with Quadrilaterals Check for Understanding p.449 Practice and Apply p.450 Maintain Your Skills p.451 Study Guide and Review p.452 Practice Test p.457 Standardized Test Practice p.458

### Chapter 9

Transformations

 9.1 Reflections Check for Understanding p.467 Practice and Apply p.467 Maintain Your Skills p.469 9.2 Translations Practice and Apply p.472 Check for Understanding p.472 Maintain Your Skills p.475 9.3 Rotations Check for Understanding p.478 9.2 Translations Practice and Apply p.479 Maintain Your Skills p.482 Practice Quiz 1 p.482 9.4 Tessellations Check for Understanding p.485 Practice and Apply p.486 Maintain Your Skills p.488 9.5 Dilations Check for Understanding p.493 Practice and Apply p.494 Maintain Your Skills p.497 Practice Quiz 2 p.497 9.6 Vectors Check for Understanding p.502 Practice and Apply p.503 Maintain Your Skills p.505 9.7 Transformations with Matrices Check for Understanding p.508 Practice and Apply p.509 Maintain Your Skills p.511 Study Guide and Review p.512 Practice Test p.517 Standardized Test Practice p.518

### Chapter 10

Circles

 10.1 Circles and Circumference Check for Understanding p.525 Practice and Apply p.526 Maintain Your Skills p.528 10.2 Angles and Arcs Check for Understanding p.532 10.1 Circles and Circumference Practice and Apply p.533 10.2 Angles and Arcs Maintain Your Skills p.535 10.3 Arcs and Chords Check for Understanding p.539 Practice and Apply p.540 Maintain Your Skills p.543 Practice Quiz 1 p.543 10.4 Inscribed Angles Check for Understanding p.548 Practice and Apply p.549 Maintain Your Skills p.551 10.5 Tangents Exercises p.555 10.6 Secants, Tangents and Angle Measures Exercises p.564 Practice Quiz p.568 10.7 Special Segments in a Circle Exercises p.571 10.8 Equations of Circles Exercises p.577 Study Guide and Review p.581 Practice Test p.587 Standardized Test Prep p.588

### Chapter 11

Areas Of Polygons And Circles

 Getting Started p.593 11.1 Areas of Parallelograms Exercises p.598 11.2 Areas of Triangles, Trapezoids and Rhombi Exercises p.605 Practice Quiz p.609 11.2 Areas of Triangles, Trapezoids and Rhombi Exercises p.613 11.3 Areas of Regular Polygons and Circles Check for Understanding p.613 Practice and Apply p.613 Maintain Your Skills p.616 11.4 Areas of Irregular Figures Practice and Apply p.619 Check for Understanding p.619 Maintain Your Skills p.621 Practice Quiz 2 p.621 11.5 Geometric Probability Check for Understanding p.625 Practice and Apply p.625 Maintain Your Skills p.627 Study Guide and Review p.628 Practice Test p.631 Standardized Test Practice p.632

### Chapter 12

Surface Area

 12.1 Three-Dimensional Figures Check for Understanding p.639 Practice and Apply p.640 Maintain Your Skills p.642 12.2 Nets and Surface Area Check for Understanding p.645 Practice and Apply p.646 Maintain Your Skills p.648 12.3 Surface Areas of Prisms Check for Understanding p.651 Practice and Apply p.651 12.4 Surface Areas of Cylinders Maintain Your Skills p.654 Check for Understanding p.657 Practice and Apply p.657 Maintain Your Skills p.659 Practice Quiz 1 p.659 12.5 Surface Areas of Pyramids Check for Understanding p.663 Practice and Apply p.663 Maintain Your Skills p.665 12.6 Surface Areas of Cones Check for Understanding p.668 Practice and Apply p.668 Maintain Your Skills p.670 Practice Quiz 2 p.670 12.7 Surface Areas of Spheres Check for Understanding p.674 Practice and Apply p.674 Maintain Your Skills p.676 Check for Understanding p.678 Practice Test p.683 Standardized Test Practice p.684

### Chapter 13

Volume

 13.1 Volumes of Prisms and Cylinders Check for Understanding p.691 Maintain Your Skills p.694 13.2 Volumes of Pyramids and Cones Check for Understanding p.698 Practice and Apply p.699 13.3 Volumes of Spheres Maintain Your Skills p.701 Practice Quiz 1 p.701 13.3 Volumes of Spheres Practice and Apply p.704 Check for Understanding p.704 Maintain Your Skills p.706 13.4 Congruent and Similar Solids Check for Understanding p.710 Maintain Your Skills p.713 Practice Quiz 2 p.713 13.5 Coordinates in Space Check for Understanding p.717 Practice and Apply p.717 Maintain Your Skills p.719 Study Guide and Review p.720 Practice Test p.723 Standardized Test Practice p.724
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