1-3 Segments, Rays, and Distance Vocabulary
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Transcript 1-3 Segments, Rays, and Distance Vocabulary
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
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Show work whenever possible
Flash Cards
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Segment
Ray
Opposite Rays
Distance
Congruent
– Midpoint of a Segment
– Bisector of a Segment
– Segment Addition Postulate