• • similarity in, 450–454, 480, 481, 482, 560–564
  • special segments of, 308–312
  • and spherical geometry, 179–180
  • Third Angles Theorem, 220
  • Triangle Angle-Sum Theorem, 171–174
  • Triangle Exterior Angle Theorem, 173–174
• Triangle-Angle-Bisector Theorem, 473–474, 480, 482
• Triangle Angle-Sum Theorem, 171–174
• Triangle Exterior Angle Theorem, 173–174
  • corollary to, 325–326
• Triangle Inequality Theorem, 327, 555
• Triangle Midsegment Theorem, 285–286
• trigonometric ratios, 487, 506, 534
  • cosine, 507
  • finding area with, 643–645
  • inverse, 509
  • sine, 507
  • tangent, 507
  • writing and using, 507–509, 536
• trigonometry
  • and area, 643–645, 679
  • defined, 507
• truth tables, 96–97
• truth value, 89, 90–92, 129
• two-column proof, 113, 115–116, 129
• two-point perspective, 696
• Types of Symmetry, 568

U

• undefined terms, 11
• units of measurement, 60, 735

V

• values
  • maximum/minimum, 68
• vanishing point, 696
• variable coordinates, 406, 408, 414–415, 424
  • using in proofs, 414–415
• vectors, 524–528, 534
  • adding, 527
  • defined, 524
  • describing the direction of, 525
  • initial point, 524
  • magnitude, 526, 536
  • resultant of, 527
  • terminal point, 524
  • and transformations, 582–583
• Venn diagrams, 89–90, 94–95, 376
• vertex angle of isosceles triangle, 249, 273
• vertex/vertices
  • of angle, 27, 70, 72
  • of cone, 711
  • defined, 27
  • of polyhedron, 688–691
  • of pyramid, 708
• vertical angles, 34–35, 70, 73
  • theorem, 120–123
• Vertical Angles Theorem, 120
• vertical line, 193
• Visualization
  • as Big Idea, 3, 69, 217, 272, 273, 431, 479, 480, 543, 602, 603, 687, 750, 751
  • in exercises, 9, 10, 25, 146, 627, 691, 692, 693, 694, 706, 714, 716, 723, 731, 738, 755
  • using nets and drawings, 4–7, 70, 71
• vocabulary
  • Chapter Vocabulary, 70, 129, 206, 273, 341, 420, 480, 534, 603, 676, 751, 811
  • exercises, 7, 16, 23, 31, 37, 46, 85, 101, 143, 193, 261, 288, 296, 304, 336, 346, 356, 372, 379, 393, 444, 455, 510, 518, 548, 562, 570, 578, 588, 598, 607, 619, 631, 654, 691, 703, 712, 736, 745, 766, 776, 784, 794, 806
  • Lesson Vocabulary, 4, 11, 20, 27, 34, 43, 59, 82, 89, 98, 106, 113, 120, 140, 156, 171, 189, 218, 250, 258, 285, 292, 301, 309, 317, 353, 359, 375, 389, 406, 432, 440, 450, 460, 464, 491, 495, 507, 516, 524, 544, 553, 555, 559, 568, 575, 584, 595, 616, 623, 625, 629, 649, 660, 663, 668, 688, 699, 708, 717, 721, 733, 742, 762, 771, 780, 790, 798, 804
  • Looking Ahead Vocabulary, 1, 79, 137, 215, 281, 349, 429, 487, 541, 611, 685, 759
  • Vocabulary Audio Online, 2, 80, 138, 216, 282, 350, 430, 488, 542, 612, 686, 760
  • Vocabulary Builder, 76, 134, 212, 278, 346, 426, 484, 538, 608, 686, 756
• volume
  • of cone, 728–729, 751, 753
  • of cylinder, 719–720, 751, 753
  • defined, 717
  • of prism, 717–719, 751, 753
  • of pyramid, 726–727, 751, 753
  • of similar solids, 742–745, 751, 752, 754
  • of sphere, 733, 735–736, 751, 752, 754
  • and surface area, 736
• von Koch, Helge
  • and Koch curve, 448

W

• work backwards, 159, 494, 590, 637
• write an equation/inequality, 21, 51, 121, 287, 295, 298, 310, 311, 328, 360, 378
• Writing exercises, 9, 18, 25, 32, 39, 47, 64, 65, 75, 87, 103, 111, 118, 133, 145, 154, 168, 187, 202, 223, 231, 240, 255, 263, 270, 289, 296, 298, 306, 314, 316, 321, 330, 342, 345, 366, 373, 381, 398, 403, 404, 411, 413, 437, 446, 457, 459, 475, 483, 512, 520, 530, 532, 537, 551, 564, 579, 590, 599, 607, 619, 621, 627, 633, 640, 642, 647, 655, 665, 672, 694, 705, 714, 723, 731, 739, 747, 778, 785, 788, 802, 807, 808, 815
• Writing proofs. See Proofs

X

• x-axis, 833
• x-coordinate, 833
• x-intercept, 190

Y

• y-axis, 833
• y-coordinate, 833
• y-intercept, 190–193

Z

• Zero-Product Property, 439

Table of Contents