1.3 Segments, Rays, and Distance

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1.3 Segments, Rays, and Distance 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 On ray , A is the endpoint. In the symbol, may A and C be switched? NO!! A . C .

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

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

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

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

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

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

Vocab 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? F . M AB XY bisects AB . X . . . B M A . Y

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

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