Name
Class
1-3
Date
Practice
Form K
Measuring Segments
Find the length of each segment. To start, find the coordinate of
each endpoint.
P
Q
R
S
T
5
2
4
5
8
1. PR 9
2. QT 10
3. QS 7
Use the number line at the right for Exercises 4–6.
G
H
I
u
16 .
5. If GH 5 45 and GI 5 61, then HI 5 u
4. If GH 5 31 and HI 5 11, then GI 5 42 .
6. Algebra GH 5 7y 1 3, HI 5 3y 2 5, and GI 5 9y 1 7.
a. What is the value of y? 9
b. Find GH, HI, and GI. 66; 22; 88
Use the number line below for Exercises 7–9. Tell whether the segments are
congruent. To start, use the definition of distance. Use the coordinates of the
points to write an equation for each distance.
B
15
C
D
10
E
G
0
5
7. CE and FD no
F
5
8. CD and FG yes
10
9. GE and BD yes
For Exercises 10–12, use the figure below. Find the value of KL.
10. KL 5 3x 1 2 and LM 5 5x 2 10 20
11. KL 5 8x 2 5 and LM 5 6x 1 3 27
K
L
M
12. KL 5 4x 1 7 and LM 5 5x 2 4 51
On a number line, the coordinates of D, E, F, G, and H are 29, 22, 0, 3, and 5,
respectively. Find the lengths of the two segments. Then tell whether they
are congruent.
13. DG and DH 12 and 14; no
14. DE and EH 7 and 7; yes
15. EG and GH 5 and 2; no
16. EG and FH 5 and 5; yes
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Name
1-3
Class
Date
Practice (continued)
Form K
Measuring Segments
Suppose the coordinate of P is 2, PQ 5 8, and PR 5 12. What are the possible
coordinates of the midpoint of the given segment?
17. PQ
6 or 22
18. PR
8 or 24
19. QR
12, 4, 0, or 28
Visualization Without using your ruler, sketch a segment with the
given length. Use your ruler to see how well your sketch approximates
the length provided. Check students’ work.
20. 5 cm
21. 8 in.
22. 8 cm
23. 12 cm
24. 85 mm
25. 5 in.
26. Suppose point J has a coordinate of 22 and JK 5 4. What are the possible
coordinates of point K? 26 and 2
27. Suppose point X has a coordinate of 5 and XY 5 10. What are the possible
coordinates of point Y? 15 or 25
Algebra Use the diagram at the right for Exercises 28–32.
N
28. If NO 5 17 and NP 5 5x 2 6, find the value of x.
Then find NP and OP. 8; NP 5 34; OP 5 17
R
Q
O
29. If RO 5 6 1 x and OQ 5 2x 1 1, find the value of x.
Then find RO, OQ, and RQ. 5; RO 5 11; OQ 5 11; and RQ 5 22
30. If NO 5 3x 1 4 and NP 5 10x 2 10, find the value of x.
Then find NO, NP, and OP. 4.5; NO 5 17.5; OP 5 17.5; NP 5 35
31. If RO 5 5x and RQ 5 12x 2 20, find the value of x.
Then find RO, OQ, and RQ. 10; RO 5 50; OQ 5 50; and RQ 5 100
32. Vocabulary What term describes the relationship between NP and RQ?
They are segment bisectors of each other because they divide each other in half.
33. Reasoning If KL 5 5 and KJ 5 10, is it possible that LJ 5 5? Explain.
Yes; if L is between K and J, and L is on the segment KJ, then LJ 5 5.
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26
P