Geometry

by Cummins, Jerry

• ISBN13: 9780078618215
• ISBN10: 0078618215
• Edition: Student
• Format: Hardcover
• Copyright: 2004-01-31
• Publisher: Glencoe/McGraw-Hill School Pub
• More Book Details

Table of Contents

Reasoning in Geometry	p. 2
Problem-Solving Workshop	p. 3
Patterns and Inductive Reasoning	p. 4
Investigation: To Grandmother's House We Go!	p. 10
Points, Lines, and Planes	p. 12
Lessons 1-1 and 1-2	p. 17
Postulates	p. 18
Conditional Statements and Their Converses	p. 24
Lessons 1-3 and 1-4	p. 28
Tools of the Trade	p. 29
A Plan for Problem Solving	p. 35
Study Guide and Assessment	p. 42
Chapter Test	p. 45
Preparing for Standardized Tests	p. 46
Segment Measure and Coordinate Graphing	p. 48
Problem-Solving Workshop	p. 49
Real Numbers and Number Lines	p. 50
Segments and Properties of Real Numbers	p. 56
Lessons 2-1 and 2-2	p. 61
Congruent Segments	p. 62
The Coordinate Plane	p. 68
Lessons 2-3 and 2-4	p. 73
Investigation: "V" Is for Vector	p. 74
Midpoints	p. 76
Study Guide and Assessment	p. 82
Chapter Test	p. 85
Preparing for Standardized Tests	p. 86
Angles	p. 88
Problem-Solving Workshop	p. 89
Angles	p. 90
Angle Measure	p. 96
Investigation: Those Magical Midpoints	p. 102
The Angle Addition Postulate	p. 104
Adjacent Angles and Linear Pairs of Angles	p. 110
Lessons 3-1 through 3-4	p. 114
Complementary and Supplementary Angles	p. 116
Congruent Angles	p. 122
Lessons 3-5 and 3-6	p. 127
Perpendicular Lines	p. 128
Study Guide and Assessment	p. 134
Chapter Test	p. 137
Preparing for Standardized Tests	p. 138
Parallels	p. 140
Problem-Solving Workshop	p. 141
Parallel Lines and Planes	p. 142
Parallel Lines and Transversals	p. 148
Investigation: When Does a Circle Become a Line?	p. 154
Transversals and Corresponding Angles	p. 156
Lessons 4-1 through 4-3	p. 161
Proving Lines Parallel	p. 162
Slope	p. 168
Lessons 4-4 and 4-5	p. 173
Equations of Lines	p. 174
Study Guide and Assessment	p. 180
Chapter Test	p. 183
Preparing for Standardized Tests	p. 184
Triangles and Congruence	p. 186
Problem-Solving Workshop	p. 187
Classifying Triangles	p. 188
Angles of a Triangle	p. 193
Geometry in Motion	p. 198
Lessons 5-1 through 5-3	p. 202
Congruent Triangles	p. 203
Investigation: Take a Shortcut	p. 208
SSS and SAS	p. 210
Lessons 5-4 and 5-5	p. 214
ASA and AAS	p. 215
Study Guide and Assessment	p. 220
Chapter Test	p. 223
Preparing for Standardized Tests	p. 224
More About Triangles	p. 226
Problem-Solving Workshop	p. 227
Medians	p. 228
Altitudes and Perpendicular Bisectors	p. 234
Angle Bisectors of Triangles	p. 240
Lessons 6-1 through 6-3	p. 243
Investigation: What a Circle!	p. 244
Isosceles Triangles	p. 246
Right Triangles	p. 251
The Pythagorean Theorem	p. 256
Distance on the Coordinate Plane	p. 262
Lessons 6-4 through 6-7	p. 267
Study Guide and Assessment	p. 268
Chapter Test	p. 271
Preparing for Standardized Tests	p. 272
Triangle Inequalities	p. 274
Problem-Solving Workshop	p. 275
Segments, Angles, and Inequalities	p. 276
Exterior Angle Theorem	p. 282
Investigation: Linguine Triangles-Hold the Sauce!	p. 288
Inequalities Within a Triangle	p. 290
Quiz: Lessons 7-1 through 7-3	p. 295
Triangle Inequality Theorem	p. 296
Study Guide and Assessment	p. 302
Chapter Test	p. 305
Preparing for Standardized Tests	p. 306
Quadrilaterals	p. 308
Problem-Solving Workshop	p. 309
Quadrilaterals	p. 310
Parallelograms	p. 316
Lessons 8-1 and 8-2	p. 321
Tests for Parallelograms	p. 322
Rectangles, Rhombi, and Squares	p. 327
Lessons 8-3 and 8-4	p. 332
Trapezoids	p. 333
Investigation: Go Fly a Kite!	p. 340
Study Guide and Assessment	p. 342
Chapter Test	p. 345
Preparing for Standardized Tests	p. 346
Proportions and Similarity	p. 348
Problem-Solving Workshop	p. 349
Using Ratios and Proportions	p. 350
Similar Polygons	p. 356
Lessons 9-1 and 9-2	p. 361
Similar Triangles	p. 362
Proportional Parts and Triangles	p. 368
Triangles and Parallel Lines	p. 374
Investigation: Are Golden Triangles Expensive?	p. 380
Proportional Parts and Parallel Lines	p. 382
Lessons 9-3 through 9-6	p. 387
Perimeters and Similarity	p. 388
Study Guide and Assessment	p. 394
Chapter Test	p. 397
Preparing for Standardized Tests	p. 398
Polygons and Area	p. 400
Problem-Solving Workshop	p. 401
Naming Polygons	p. 402
Diagonals and Angle Measure	p. 408
Areas of Polygons	p. 413
Lessons 10-1 through 10-3	p. 418
Areas of Triangles and Trapezoids	p. 419
Areas of Regular Polygons	p. 425
Investigation: How About That Pythagoras!	p. 432
Symmetry	p. 434
Lessons 10-4 through 10-6	p. 439
Tessellations	p. 440
Study Guide and Assessment	p. 446
Chapter Test	p. 449
Preparing for Standardized Tests	p. 450
Circles	p. 452
Problem-Solving Workshop	p. 453
Parts of a Circle	p. 454
Investigation: A Locus Is Not a Grasshopper!	p. 460
Arcs and Central Angles	p. 462
Lessons 11-1 and 11-2	p. 467
Arcs and Chords	p. 468
Inscribed Polygons	p. 474
Circumference of a Circle	p. 478
Lessons 11-3 through 11-5	p. 482
Area of a Circle	p. 483
Study Guide and Assessment	p. 488
Chapter Test	p. 491
Preparing for Standardized Tests	p. 492
Surface Area and Volume	p. 494
Problem-Solving Workshop	p. 495
Solid Figures	p. 496
Investigation: Take a Slice	p. 502
Surface Areas of Prisms and Cylinders	p. 504
Volumes of Prisms and Cylinders	p. 510
Lessons 12-1 through 12-3	p. 515
Surface Areas of Pyramids and Cones	p. 516
Volumes of Pyramids and Cones	p. 522
Lessons 12-4 and 12-5	p. 527
Spheres	p. 528
Similarity of Solid Figures	p. 534
Study Guide and Assessment	p. 540
Chapter Test	p. 543
Preparing for Standardized Tests	p. 544
Right Triangles and Trigonometry	p. 546
Problem-Solving Workshop	p. 547
Simplifying Square Roots	p. 548
45[degree]-45[degree]-90[degree] Triangles	p. 554
Lessons 13-1 and 13-2	p. 558
30[degree]-60[degree]-90[degree] Triangles	p. 559
Tangent Ratio	p. 564
Lessons 13-3 and 13-4	p. 569
Investigation: I Spy	p. 570
Sine and Cosine Ratios	p. 572
Study Guide and Assessment	p. 578
Chapter Test	p. 581
Preparing for Standardized Tests	p. 582
Circle Relationships	p. 584
Problem-Solving Workshop	p. 585
Inscribed Angles	p. 586
Tangents to a Circle	p. 592
Investigation: The Ins and Outs of Polygons	p. 598
Secant Angles	p. 600
Lessons 14-1 through 14-3	p. 605
Secant-Tangent Angles	p. 606
Segment Measures	p. 612
Lessons 14-4 and 14-5	p. 617
Equations of Circles	p. 618
Study Guide and Assessment	p. 624
Chapter Test	p. 627
Preparing for Standardized Tests	p. 628
Formalizing Proof	p. 630
Problem-Solving Workshop	p. 631
Logic and Truth Tables	p. 632
Deductive Reasoning	p. 638
Paragraph Proofs	p. 644
Lessons 15-1 through 15-3	p. 648
Preparing for Two-Column Proofs	p. 649
Two-Column Proofs	p. 654
Lessons 15-4 and 15-5	p. 659
Coordinate Proofs	p. 660
Investigation: Don't Touch the Poison Ivy	p. 666
Study Guide and Assessment	p. 668
Chapter Test	p. 671
Preparing for Standardized Tests	p. 672
More Coordinate Graphing and Transformations	p. 674
Problem-Solving Workshop	p. 675
Solving Systems of Equations by Graphing	p. 676
Solving Systems of Equations by Using Algebra	p. 681
Lessons 16-1 and 16-2	p. 686
Translations	p. 687
Reflections	p. 692
Rotations	p. 697
Lessons 16-3 through 16-5	p. 702
Dilations	p. 703
Investigation: Artists Do Math, Don't They?	p. 708
Study Guide and Assessment	p. 710
Chapter Test	p. 713
Preparing for Standardized Tests	p. 714
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