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Transcript
Name: ________________________ Class: ___________________ Date: __________
Test review Geometry
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Use the figure to find the angles.
____
____
____
____
____
1. Name two acute vertical angles.
a. ∠KQL, ∠KQM
b. ∠KQL, ∠IQH
c.
d.
∠GQI, ∠IQM
∠HQL, ∠IQK
2. Name a pair of obtuse adjacent angles.
a. ∠KQG, ∠HQM
b. ∠GQL, ∠LQJ
c.
d.
∠GQI, ∠IQM
∠HQG, ∠IQH
3. Name a linear pair.
a. ∠KQG, ∠HQM
b. ∠GQL, ∠LQJ
c.
d.
∠GQI, ∠IQM
∠LQG, ∠KQM
4. Name an angle supplementary to ∠MQI .
a. ∠IQG
b. ∠GQL
c.
d.
∠MQK
∠IQH
5. Name two obtuse vertical angles.
a. ∠KQL, ∠KQM
b. ∠KQL, ∠IQH
c.
d.
∠GQI, ∠IQM
∠HQL, ∠IQK
1
ID: A
Name: ________________________
ID: A
Short Answer
6. If m∠AOC = 73°, m∠BOC = 2x + 10, and m∠AOB = 4x − 15, find the degree measure of ∠BOC and ∠AOB.
The diagram is not to scale.
7. ∠1 and ∠2 are a linear pair. m∠1 = x − 28, and m∠2 = x + 82. Find the measure of each angle.

→
8. MO bisects ∠LMN, m∠LMO = 6x − 22, and m∠NMO = 2x + 34. Solve for x and find m∠LMN. The
diagram is not to scale.
9. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
10. Are O, N, and P collinear? If so, name the line on which they lie.
2
Name: ________________________
ID: A
11. What is the intersection of plane TUYX and plane VUYZ?
12. Find AC.
13. If EF = 2x − 12, FG = 3x − 15, and EG = 23, find the values of x, EF, and FG. The drawing is not to scale.
14. If T is the midpoint of SU , find the values of x and ST. The diagram is not to scale.
15. Let C be between D and E . Use the Segment Addition Postulate to solve for v.
DC = 3v− 30
CE = 6v− 15
DE = 27
3
Name: ________________________
ID: A
Use the Distance Formula to find the distance between each pair of points.
16.
Find the coordinates of the midpoint of a segment having the given endpoints.
17. Q ÊÁË 1, − 3 ˆ˜¯ , R ÊÁË 11, 5 ˆ˜¯
18. Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two
angles.
19. What are the measures of ∠EBG and ∠EBC ? Classify each angle as acute, right, obtuse, or straight.
20. The measure of an angle is 44° less than the measure of its supplement. Find the measure of the angle and the
measure of its supplement.
4
ID: A
Test review Geometry
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
B
B
C
A
D
SHORT ANSWER
6.
7.
8.
9.
10.
m∠BOC = 36°; m∠AOB = 37°
∠1 = 35, ∠2 = 145
x = 14, m∠LMN = 124
(7, 6)
No, the three points are not collinear.
←
→
11.
12.
13.
14.
15.
UY
12
x = 10, EF = 8, FG = 15
x = 5, ST = 45
v=8
16.
34
Ê
17. ÁË 6, 1 ˆ˜¯
18. 77, 103
19. m∠EBG = 45°; ∠EBG is acute.
m∠EBC = 100°; ∠EBC is obtuse.
20. The angle measures 68° and the supplement measures 112°.
1