Name: _______________________________
Period: ______
Geometry Chapter 5 Test – Version A
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. In
,
. Find
.
C
X
Y
O
B
a.
b.
____
A
Z
=3
= 1.1
c.
d.
2. Find the measures
and
= 3.3
= 2.2
.
B
6.4
A
X
2.3
C
a.
b.
____
c.
d.
3. Given that
Y
Z
a.
b.
bisects
and
, find
X
W
c.
d.
.
____
4. Given
with
, and AC  6 , find the length of midsegment
,
.
C
AC = 6
X
Y
A
BC = 5
3
B
a. XY = 3
b. XY = 1.5
____
c. XY = 2.5
d. XY = 2
5. Vanessa wants to measure the width of a reservoir. She measures a triangle at one side of the
reservoir as shown in the diagram. What is the width of the reservoir (BC across the base)?
B
120 m
X
120 m
150 m
A
100 m
Y
100 m
C
a. 150 m
b. 300 m
____
c. 75 m
d. 100 m
6. Danny and Dana start hiking from the same base camp and head in opposite directions. Danny
walks 6 miles due west, then changes direction and walks for 5 miles to point C. Dana hikes 6 miles
due east, then changes direction and walks for 5 miles to point S. Use the diagram to find which
hiker is farther from the base camp.
C
5 mi
base camp
B
6 mi
140º
6 mi
A
R
130º
5 mi
S
a.
b.
c.
d.
Danny is farther from the base camp than Dana.
Dana is farther from the base camp than Danny.
Both hikers are the same distance from the base camp.
There is not enough data to answer the question.
7. In
, show that midsegment
is parallel to
answer sheet).
y
C (-4, 2)
2
L
–4
K
A (-4, -4)
–2
2
–2
–4
4
6
B (4, -2)
x
and that
(follow the steps on the
8. Write the sides of
in order from shortest to longest.
I
58º
J
62º
K
9. Tell whether a triangle can have sides with lengths 5, 11, and 7.
10. Tell whether a triangle can have sides with lengths 1, 2, and 3.
11. The diagram shows the approximate distances from Houston to Dallas and from Austin to Dallas.
What is the range of distances, d, from Austin to Houston?
D
200 mi
240 mi
A
H
12. Compare m
with m
.
B
12
12
10
A
13. In
C 8
D
,
,
, and
C
D
A
B
. Find the range of values for x.
14. Find the value of x.
x
3
6
15. Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.
25
20
16. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as
acute, right, or obtuse.
17. The diagram shows a new kind of triangular bread. Where should the baker place her hand while
spinning the dough so that the triangle is balanced (hint: what are the coordinates of the centroid)?
y
B
2
C
1
A
–4
–3
–2
–1
1
2
3
4
5
x
18. Find the value of x.
5
x
x
19. List the angles of ∆JKL in order from smallest to largest if J(10, -4), K(1, 6), L(2, -8)
(hint: you need to find the distance of each segment of the triangle first).
Name: _______________________________
Period: ______
Geometry Chapter 5 Test Answer Sheet
VERSION: A
TEST NUMBER: ____
For #1 – 6, write the LETTER of your answer choice only.
1.
4.
2.
5.
3.
6.
7. Follow the steps to show
is parallel to
and that
a. Give the coordinates of points K, L, A, and B.
K ________
L ________
b. Calculate the slope of segments KL and AB.
A ________
B ________
c. Calculate the length of segments KL and AB. (Hint: use the distance formula.)
d. Using slope and segment length, show that
is parallel to
and that
8. ___________________________________________________________________
9.
Circle one: YES or NO
WORK or EXPLANATION:
10. Circle one: YES or NO
WORK or EXPLANATION:
11. Range: ___________
WORK or EXPLANATION:
12.
______________________________
13. Range of values for x: _______________________________________________
WORK:
14. x = _________
WORK:
15. Missing side length: _________
Pythagorean Triple? ____________
EXPLANATION:
16. Sides of a triangle? (circle one)
If so, (circle one) ACUTE
EXPLANATION:
Yes
OBTUSE
or
No
RIGHT
17. Coordinates of centroid: ___________
WORK:
18. x = ________
WORK:
19. Angles from smallest to largest: __________________________________
WORK: