Geometry
, by Cummins, Jerry- ISBN: 9780078618215 | 0078618215
- Cover: Hardcover
- Copyright: 1/31/2004
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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