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Transcript
Name:_______________________________
Period ______
Date _________________
Geometry Concepts
Chapter 3 REVIEW
For Questions 1–3, refer to the figure at the right.
1. Give two other names for  1.
______________
______________
A
E
2. Name the vertex of  EBD.
J
F
1
B
D
______________
C
H
G
3. What three points are located in the interior of  EBH?
______________
______________
______________
For Question 4, draw the appropriate angle.
4. Use a protractor to draw a 55° angle. Classify the angle as acute, right, or obtuse.
Angle:
Classification: _____________________
For Question 5, refer to the figure below.
5. Use a protractor to find the measure of  XYZ. Classify  XYZ as acute, right, or obtuse.
Z
Measure:_____________________
X
Y
Classification:_____________________
Review - Page 1 of 4
Name:_______________________________
Period ______
Date _________________
For Questions 6–7, refer to the figure at the right.
N
6. If m  KJN = 150 and m  MJK = 132, find m  MJN.
J
______________
M
K
7. If m  KJN = 150, m  MJN = 18, and JM bisects  LJN,
find m  LJK.
L
______________
For Questions 8–10, refer to the figure at the right.
8. What angle forms a linear pair with  DCG?
______________
F
D
A
9. Name two angles that are adjacent to  GBF.
C
B
______________
______________
G
E
10. Are  GBF and  ABE vertical angles?
YES
NO
For Questions 11-13, chose the best answer by circling it. Draw a picture to help you.
11. Which statement is true?
A. The supplement of an obtuse angle is acute.
B. The supplement of a right angle is obtuse.
C. The complement of a right angle is right.
D. The complement of an acute angle is obtuse.
12. Which is not a pair of adjacent angles?
A.  LXK and  LXI
B.  LXH and  JXK
C.  HXM and  GXM
D.  HXL and  GXL
Review - Page 2 of 4
Name:_______________________________
Period ______
Date _________________
13. If  1   2, and  3 is supplementary to  2, and  3 and  4 are vertical angles,
which conclusion is valid?
A.
B.
C.
D.
 1 is complementary to  4.
 1 and  2 are vertical angles.
 1 and  4 are supplementary angles.
 2 and  3 are congruent angles.
For Questions 14–15, refer to the figure at the right.
E
14. Name one pair of adjacent supplementary angles.
______________
D
______________
C
X
15. If m  CXB = 63,  CXE is a right angle, and XD bisects
 CXE, find m  AXB.
A
B
______________
For Questions 16-18, write your answers on the lines provided. Draw a picture if needed.
16. Find the measure of an angle that is supplementary to  A if  A   B and m  B = 65.
______________
17. Suppose  1 and  2 are vertical angles.
What is the value of x if m  1 = 3x + 18 and m  2 = 7x - 22?
______________
What are the measures of  1 and  2?
______________
______________
Review - Page 3 of 4
Name:_______________________________
Period ______
Date _________________
18. Suppose  1 and  2 are complementary angles,  1 and  3 are vertical angles, and  4
is supplementary to  3.
If m  2 = 42, find the measures of  1,  3, and  4.
m  1 = ______________
m  2 = ______________
m  3 = ______________
For Questions 19–21, refer to the figure at the right.
In the figure,
AB  XY
and WZ
 AY .
C
19. Name two different angles that are
complementary to  ADZ.
______________
_______________
U
V
A
Z
X
D
20. Name two different angles that are
supplementary to  DAV.
______________
W
B
Y
______________
21. If m  WDB = 18, find m  WDY.
______________
Bonus: Refer to the figure for Questions 19–21. If m  XDW = 70, how many other angles are
also 70 degrees? Name them. (Hint: There are 180 degrees in a triangle.)
_______________
They are _____________________________________________
Review - Page 4 of 4