# Ch 5 Test

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```Name _______________________________________ Date ___________________ Class __________________
1. AB  18.5, AX  8.1 and BC  18.5. What
is the length of AC ?
A 8.1
B 9.25
C 16.2
D 18.5
5. X is formed from the intersection of the
angular bisectors of the NPQ. What
MUST be true?
A KN  KP
C XM  KX
B XN  QX
D NM  QL
6. If G is the centroid of ABC, what MUST
be true?
2. JK has endpoints J(1, 3) and K(3, 5).
The intersection of JK and its
perpendicular bisector is (2, 4). Which is
the equation for the perpendicular
bisector of JK ?
A y  4  1(x  2)
B y  4  1(x  2)
A FG  EG
2
B CG  CD
3
C y  5  1(x  3)
D y  5  1(x  3)
3. What is true about DEY and FEY?
8. A midsegment connecting two sides of a
triangle is parallel to the third side and
equal to which measurement?
A 2 times the third side
B
A mDEY  mFEY  90&deg;
1
times the third side
2
9. CA is a midsegment of VTU. What is
the measure of BCA?
B mDEY  mFEY
A 40&deg;
B 50&deg;
Original content Copyright &copy; by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
11. Which inequality best describes the
possible lengths of the third side of a
triangle with two sides of lengths 11
and 9?
14. What is the value of x?
A 9  s  11
B 11  s  9
C 2  s  20
D 2  s  20
Use the figures for Exercises 12 and 13.
A 13
B 17
C 119
D 169
15. Which number forms a Pythagorean triple
with 8 and 10?
A 6
B 15
12. Which shows the angles of FED in
order from smallest to largest?
16. What is the classification of ABC with
side lengths 7, 11, and 13?
A D, E, F
A acute
B F, D, E
B obtuse
C E, F, D
D D, F, E
17. What is the value of x?
13. Compare E and H.
A H  E
B E  H
A 2 8
B 8
C 8 2
D 128
18. What is the value of y?
A 3 4
B 4
C 4 3
D 8
Original content Copyright &copy; by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
1. Find AB.
5. GX and HX are angle bisectors of
GHJ. Find mXHG and the distance
from X to GH .
________________________________________
2. Identify the point of intersection of the
segment with endpoints (2, 4) and (2, 8)
and its perpendicular bisector.
________________________________________
6. If MX  15, find MW.
________________________________________
3. Find FY.
________________________________________
________________________________________
Use the figure for Exercises 8 and 9.
4. TS, TR, and TQ are the perpendicular
bisectors of NPO. Find QO, RP, and PT.
8. Find CB.
________________________________________
________________________________________
9. Find mCAV.
________________________________________
11. Write True or False. The measures 10,
12, and 16 can be the side lengths of
a triangle.
________________________________________
Original content Copyright &copy; by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Use the figures for Exercises 12 and 13.
15. Write True or False. A right triangle has
sides that measure 5, 12, and 13. The
side lengths form a Pythagorean triple.
________________________________________
12. Write the sides of FED in order from
smallest to largest.
16. The measures of the side lengths of a
triangle are 3, 4, and 5. Classify the
triangle as acute, right, or obtuse.
________________________________________
________________________________________
13. Compare FD and GJ.
17. Find the value of x.
________________________________________
14. Find the value of x.
________________________________________
18. Find the values of x and y.
________________________________________
________________________________________
Original content Copyright &copy; by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Multiple Choice
1. C
2. B
11. D
3. B
12. D
13. B
5. C
14. A
6. B
15. A
16. A
8. B
17. C
9. A
18. D
Free Response
1.
2.
3.
4.
5.
12.5
(2, 6)
17.25
QO  3.75, RP  3.4, and PT  4.5
mXHG  39&deg;; the distance from
X to GH  14.2.
6. MW  10
8. 21.25
9. 45&deg;
11. True
12. FE, ED, DF
13.
14.
15.
16.
FD  GJ
10
True
right
17. 5 2
18. x  7 3; y  14
16. 2  x  4 3
17. 24 cm
18. 288 3 in2 or about 498.8 in2
Original content Copyright &copy; by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
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