Name _________________________________________
CHAPTER
5
Date
____________________
Chapter 5 Practice Test
For use after the chapter “Relationships within Triangles”
Use Δ DEF, where J, K, and L are
midpoints of the sides.
Answers
1. _____________
1. If DE = 8x + 12 and KL = 10x – 9,
what is DE?
2. _____________
2. If JL = 7x – 6 and EF = 9x + 8,
what is EK?
3. _____________
3. If DF = 18x – 6 and JK = 3x + 11,
what is JK?
4. _____________
Find the value of x.
4.
5. _____________
6. _____________
5.
7. _____________
8. _____________
9. _____________
10. _____________
11. _____________
6.
7.
Find the coordinates of the centroid P of ΔSTU.
8. S(2, 5), T(5, –2), U(–1, –6)
9. S(–1, 7), T(5, –6), U(–7, –4)
Point S is the centroid ΔPQR. Use the given information to
find the value of x.
10. QS = 3x + 5 and QT = 4x + 11
11. VS = 3x – 2 and VP = 7x + 4
12. RS = 4x + 1 and SU = 3x – 4
Geometry
Assessment Book
12. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Find the value of x that makes P the incenter of the triangle.
Name _________________________________________
Date ____________________
Chapter 5 Practice Test
continued
For use after the chapter “Relationships within Triangles”
CHAPTER
5
List the sides and the angles in order from smallest to largest.
Answers
13.
13. _____________
14.
_____________
14. _____________
_____________
15.
15. _____________
16.
_____________
16. _____________
_____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Is it possible to build a triangle using the given side lengths?
If so, order the angle measures of the triangle from least
to greatest.
17. AB =
73 , BC =3 10 , AC = 5 7
18. JK =
33 , KL = 4 5 , JL = 9 3
m2
_____________
18. _____________
_____________
19. _____________
Complete the statement with <, >, or =.
19. m  1 ?
17. _____________
20. PQ ?
SR
20. _____________
21. _____________
22. _____________
Use the Hinge Theorem or its converse and properties of
triangles to write and solve an inequality to describe a
restriction on the value of x.
21.
22.
Geometry
Assessment Book
Chapter 5 Practice Test Answers
1. 32 2. 22 3. 18 4. x = 10 5. x = 48
6. x = 5 7. x = 7 8. (2, –1) 9. (–1, –1)
9
10. x = 7 11. x = 5 12. x =
2
13. BC , AC , AB ;  A,  B,  C,
14. FH , HG , FG ;  G,  F,  H
15. PR , QR , PQ ;  Q,  P,  R
16. TU , ST , SU ;  S,  U,  T
17. yes;  C,  A,  B 18. no 19. <
9
20. = 21. x < 21 22. x <
2