Geometry
Test Chapter 4
Name ___________________________
Find the measure of the indicated angle.
1.  PQR   STU. Find m U.
2. EFGH  JKLM. Find m M. _____________
____________


3. Label the triangles below to represent
and answer the Questions 4 - 6 below.
True or False.
4.
 L   Q ___________
5. LK  RQ _____________
6. If JK = 7x – 23 and PQ = 3x + 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 = _____________
For questions 21-25, determine the best answer.
_____ 21. If
and
, how do you know that
?
A.
HL Theorem
B.
SSS Postulate
C.
ASA Postulate
D.
CPCTC
_____ 22. If BD bisects
 ABC, then . . .
A.
AB  BC
B.
1  2
C.
A  C
D.
AD  DC
_____ 23. If AB|| DC , then . . .
B
A.
1  2
B.
AB  DC
C.
A  C
D.
 ABD   CDB
_____ 24. If M is the midpoint of AD, then . . .
A
A.
AB || CD
B.
BM  MC
C.
A  D
D.
AM  MD
_____ 25. Given
, what is
best described as?
A.
midpoint
B.
hypotenuse
C.
perpendicular bisector
D.
CPCTC
26. Complete the proof .
Statements
1. BDAC
D is the midpoint of AC
Given: BD  AC
D is the midpoint of AC
Prove: BC  BA

 1 and  2 are right  ’s
2. __________________________
3.
1  2
3. __________________________
4. AD  CD
4. __________________________
5. BD  BD
5. __________________________
6.  ADB   CDB
6. __________________________
7. BC  BA
7. __________________________
Statements
1. BC bisects AD
AB || DC
 Prove: AB
  DC

A  B
AP  BP
Prove:  APX   BPY
1. Given
2. B  C
2. __________________________

3. ______________________
3. Definition of Bisect

4. 1  2
4. __________________________
5. _____________________
5. __________________________
6. _____________________
6. __________________________


Given:
Reasons
AB || DC

28. Make a two-column proof.
1. Given
2.
27. Complete the proof.
Given: BC bisects AD
Reasons

Statements
Reasons