Geometry
Test Chapter 4
Name ___________________________
Find the measure of the indicated angle.
1.  PQR =  STU. Find
 U.
Draw a picture to represent
____________
2. EFGH = JKLM. Find
 M. _________________
and answer the Questions 4 - 6 below.
True or False.
4.
 L =  Q ___________
5. LK = RQ _____________
6. If JK = 3x – 14 and PQ = 2x + 25, find the value for x. ______________
State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved
congruent, write not possible.
7. __________________
8. ________________
9. __________________
10. ________________
11. ________________
12. ___________________
Tell whether the HL Theorem can be applied to prove the triangles are congruent.
13. _____________
14. ________________
Find the measures of the missing angles.
15.
 1 = __________
16.
 2 = __________
17.
 3 = ___________
18.
 4 = ____________
Find the values of the variables.
19. x = __________ y = ____________
20. a = __________ b = ___________ c = _____________
Circle the best answer.
21. If BD bisects
 ABC, then . . .
a) AB = BC
b)
1 = 2
c) BD = BD
d) AD = DC
22. If AB || DC, then . . .
a)
1 = 2
b)
A= C
c) AB = DC
d)  ABD =  CDB
23. If M is the midpoint of AD, then . . .
a) AD = AD
b) BM = MC
c)
A= D
d) AM = MD
B
24. Complete the proof choosing from the list of statements below. A statement may be use more than once and you will not
use all the statements.
def. of midpoint
reflexive
def. of perpendicular lines
transitive
Given: BD  AC
D is the midpoint of AC
def. of bisect
vertical angles
SAS
CPCTC
1. BD  AC
1. Given
2. D is the midpoint of AC
2. Given
Prove: BC = BA
ASA
3.
 1 = 90o
3. ____________________________
4.
 2 = 90o
4. ____________________________
5.
1 = 2
5. ____________________________
6. AD = DC
6. ___________________________
7. BD = BD
7. __________________________
8.  ADB =  CDB
8. __________________________
9. BC = BA
9. _________________________
1. X is the midpoint of
1. Given
2. X is the midpoint of
2. Given
3. _______________________
3. Definition of Midpoint
4. ______________________
4. Definition of Midpoint
5. _____________________
5. Vertical Angles
6. _____________________
6. ____________________
7. _____________________
7. _____________________
25. Complete the proof.
Given: X is the midpoint of
X is the midpoint of
Prove:
26. Make a two-column proof.
Given:
A= B
AP = BP
Prove:  APX =  BPY