1 / 13

Geometry

Geometry. 1.3 Segments, Rays, and Distance. Lines. A and C are on the line. B is between A and C. In the symbol, may A and C be switched?. YES!!. C. B. A. Segments. On Segment , A and C are endpoints. In the symbol, may A and C be switched?. YES!!. C. A. Rays.

sline
Download Presentation

Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry 1.3 Segments, Rays, and Distance

  2. Lines • A and C are on the line. • B is between A and C. • In the symbol, may A and C be switched? YES!! C . B . A .

  3. Segments • On Segment , A and C are endpoints. • In the symbol, may A and C be switched? YES!! C . A .

  4. Rays • On ray , A is the endpoint. • In the symbol, may A and C be switched? NO!! A . C .

  5. Opposite Rays • Ray and ray are opposite rays if S is between R and T. . R . S . T

  6. Lengths • AC, without a symbol, is used to denote the length of . • AC = 4 C . 4 A .

  7. Number Line • CD = _____ ? • |15 – 7| = |8| = 8 • CB = _____ ? • |7 – (-5)| = |7 + 5| = |12| = 12 • AB = _____ ? • |-21 – (-5)| = |-21 + 5| = |-16| = 16 B C D A -21 -5 0 7 15

  8. Postulates and Axioms • Statements that are accepted without proof. • They are the foundation for theorems, corollaries, and proofs of geometry.

  9. Segment Addition Postulate • If B is between A and C, then… AB + BC = AC. C . B . A .

  10. Find x and BC. x + x + 6 = 24 2x + 6 = 24 2x = 18 x = 9 Find BC. BC = x + 6 = 9 + 6 = 15 AC = 24 x x + 6 . . . A B C

  11. E . Vocab G . D . F . • Congruent objects have the same size and shape. DE = FG is equivalent to • A Midpoint is the point that divides a segment into two congruent segments. ____ is the midpoint of _____ • A bisector of a segment is a line, segment, ray, or plane that intersects a segment at its midpoint. • Which segment bisects which segment in the diagram below? AB M XY bisects AB . X . . . B M A . Y

  12. What have you learned? • Please open your books to P.15. Let’s answer #6-#18 even. • 6) False • 8) True • 10) True • 12) True • 14) False • 16) False • 18) True

  13. Homework • P. 7 #8-32 (8X) • P. 15 #1-39 odd • Look at 1.4 P. 20 #1-32(8X) • Test…

More Related