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This homework assignment covers key concepts in geometry, including definitions of segments, rays, and distance. Students will learn about congruent segments, midpoints, and segment bisectors, along with the Segment Addition Postulate. The assignment includes both true/false statements and problems that require finding distances between points on a number line, determining congruence, and solving for unknown variables. Practice with these concepts is crucial for mastering geometric principles.
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Answers to Homework 2) True 4) True 6) False 8) False 10) True 14) No 16) *Plane VST and RSTW 18) *VS *Plane VWT 22) *AE ER EH 24) a) No b) Yes 26) * a) Plane ABFRE Plane DCGSH b) Plane EHDA Plane FGCB 28) a) Yes b) No *ORDER MAY VARY
Vocabulary • Segment: A line that has 2 end points • Ray: A line that has 1 end point • Opposite Rays: Two rays going in opposite directions with the same end point Makes a line! E G R S
Distance • Space between 2 numbers on a number line • The absolute value of the difference of 2 coordinates Examples: Find the distance between 1 and 4. Find the distance between -2 and 3.
Segments • Congruent: Same size and shape (equal) • Congruent Segments: segments with equal length B C 3 in D 3 in Lengths are equal No line = Length AB = 3 in A
More Segments • Midpoint of a Segment: a Point that divides a segment into two congruent segments • Bisector of a Segment: a Line, Segment, Ray or Plane that intersects a segment at its midpoint F is the midpoint of EG E F G M bisects EG M
Segment Addition Postulate • If B is between A and C, then AB + BC = AC Example: Given RS = 3x, ST = 12 – x, and RT = 24, find x. R S T
TOO • Given E is the midpoint of DF, DE = 4x – 3 and EF = 3x + 2, find x. D E F
Homework • Page 15 #1-39 odd • Show work whenever possible • Flash Cards • Segment • Ray – Midpoint of a Segment • Opposite Rays – Bisector of a Segment • Distance • Congruent – Segment Addition Postulate