Geometry Unit 1.2 HW Segments and Congruence
1. Measure the length of the segment to the nearest
tenth of a centimeter.
4
W
5
X
Y
2. Measure the length of the segment to the nearest
tenth of a centimeter.
8. Let K be between J and L. Use the segment addition
postulate to find the length of
.
50
3. Measure the length of the segment to the nearest
tenth of a centimeter.
4. Use the segment addition postulate to find the
length of .
24
J
20
K
L
5. Let H be between G and I. Use the segment
addition postulate to find the length of
.
J
K
24
18
D
E
15
F
10. Let K be between J and L. Use the segment addition
postulate to find the length of
.
40
H
I
6. Let E be between D and F. Use the segment
addition postulate to find the length of
.
15
J
K
L
11. Let U be between T and V. Use the segment
addition postulate to find the length of
.
35
D
L
9. Let E be between D and F. Use the segment
addition postulate to find the length of
.
32
G
15
21
E
15
F
7. Let X be between W and Y. Use the segment
addition postulate to find the length of
.
T
12
U
V
12. Let B be between A and C. Use the segment
addition postulate to find the length of
.
y
40
A
25
B
C
x
13. Use the number line to find the indicated length.
A
B
C
D
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
a.)
c.)
e.)
g.)
0
G
H
E
1
2
AB =
CD =
CE =
BE =
3
4
5
b.) AD =
d.) BD =
f.) AE =
h.) DE =
17. Use the coordinate plane to find the length of CD.
y
14. Use the number line to find the indicated length.
J
–6
K
–5
a.)
c.)
e.)
–4
–3
L
–2
–1
0
1
M
2
3
4
JK =
JM =
LK =
5
6
C
b.) JL =
d.) KM =
f.) ML =
x
15. Use the coordinate plane to find the length of CD.
D
y
C
D
18. Use the coordinate plane to find the length of AB.
y
x
A
x
16. Use the coordinate plane to find the length of GH.
B
19. Plot A(2, 2), B(4, 2), C(-1, -1), and D(-1, 1) in the
coordinate plane. Then determine whether the line
segments,
and
, are congruent.
y
y
5
5
5
x
20. Plot M(1, -3), N(4, -3), O(3, 4), and P(4, 4) in the
coordinate plane. Then determine whether the line
segments,
and
, are congruent.
5
x
22. Plot R(3, 5), S(10, 5), T(-4, -3), and U(-11, -3) in
the coordinate plane. Then determine whether the
line segments,
and
, are congruent.
y
y
5
2
2
5
x
x
21. Plot E(-3, 4), F(-1, 4), G(2, 4), and H(-1, 1) in the
coordinate plane. Then determine whether the line
segments,
and
, are congruent.
23. In the diagram, points V, W, X, Y, and Z are
collinear,
,
, and
Find the indicated length.
a) WX =
c) WY =
e) WZ =
b)
d)
f)
.
VW =
VX =
VY =
24. In the diagram, points A, B, C, and D are collinear
and points C, X, Y, and Z are collinear,
,
,
, and
. Find the indicated length.
a)
c)
e)
AB =
CY =
XC =
b)
d)
f)
BD =
CD =
CZ =
25. Let I be between M and T. Use the Segment
Addition Postulate to solve for x.
Geom
1.0
x+7
3x + 2
22
26. Let A be between B and T. Use the Segment
Addition Postulate to solve for x.
Geom
1.0
x+4
2x - 9
55
27. Let O be between F and P. Use the Segment
Addition Postulate to solve for x.
Geom
1.0
17
4x - 5
x + 30
28. Which of the following is an undefined term?
Geom 1.0
a. ray
b. line
c. segment
d. angle