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 1-3 Segments, Rays, and Distance Vocabulary Segment: A line that has 2 end points EG Ray: A line that has 1 end point E R G S RS Opposite Rays: Two rays going in opposite directions with the same end point Makes a line! Distance Space between 2 numbers on a number line The absolute value of the difference of 2 coordinates | 1 4 | | 3 | 3 Examples: Find the distance between 1 and 4. Find the distance between -2 and 3. | 2 3 | | 5 | 5 Segments Congruent: Same size and shape (equal) AB CD Congruent Segments: segments with equal length B C A AB CD Lengths are equal No line = Length AB = 3 in D 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 EF FG EF FG E M bisects EG F G 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 3 x 12 x 24 x6 TOO Given E is the midpoint of DF, DE = 4x – 3 and EF = 3x + 2, find x. D E 4x 3 3x 2 x 5 F Homework Page 15 #1-39 odd – Show work whenever possible Flash Cards – – – – – Segment Ray Opposite Rays Distance Congruent – Midpoint of a Segment – Bisector of a Segment – Segment Addition Postulate