Name: ______________________
Class: _________________
Date: _________
ID: A
Geometry Mastery Test #1 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Name three points that are collinear.
a.
b.
____
points T, Q, and R
points T, Q, and S
c.
d.
points S, Q, and R
points T, S, and R
c.
112
2. If RS = 44 and QS = 68, find QR.
a.
14
b.
44
d.
24
____
3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w – 1, and RT = 18. Use the Segment
Addition Postulate to solve for w. Then determine the length of RS.
a. 16
b. 5
c. 13
d. 6
____
4. Find the distance between the points (1, 4) and (–2, –1).
a.
10
c. 34
b.
____
10
d.
34
5. Find the midpoint of the segment with endpoints (9, 8) and (3, 5).
3
13
a. (3, )
c. (6,
)
2
2
b. (12, 13)
d. (1, –2)
1
Name: ______________________
____
6. If m∠IOJ = 22° and m∠HOI = 25°, then what is the measure of ∠HOJ?
a.
____
45°
b.
44°
c.
52°
d.
47°
7. m∠JHI = (2x + 7)° and m∠GHI = (8x − 2)° and m∠JHG = 65°.
Find m∠JHI and m∠GHI.
a.
b.
c.
d.
____
ID: A
m∠JHI = 19° and m∠GHI = 46°
m∠JHI = 46° and m∠GHI = 19°
m∠JHI = 13° and m∠GHI = 52°
m∠JHI = 52° and m∠GHI = 13°
⎯⎯
⎯
→
8. In the figure (not drawn to scale), MO bisects ∠LMN, m∠LMO = (13x − 31)°, and m∠NMO = (x + 53)°.
Solve for x and find m∠LMN.
a.
2, 38°
b.
2, 7°
c.
2
7, 207°
d.
7, 120°
Name: ______________________
____
ID: A
9. Name an angle adjacent to ∠AOB.
a.
b.
c.
d.
∠BOE
∠COD
∠BOD
∠DOE
Complete the conditional statement to make a true statement.
____ 10. If ∠R and ∠S are complementary and m∠R = 35°, then
a. m∠S = 145°
b. m∠S = 125°
c. m∠S = 55°
d.
____ 11. Which figure below is not a polygon?
a.
b.
d.
c.
m∠S = 215°
____ 12. The figure below is an example of a(n) _______.
a.
nonagon
b.
octagon
c.
3
hexagon
d.
heptagon
Name: ______________________
ID: A
____ 13. The figure shown below _________.
a.
b.
is a pentagon
is a hexagon
c.
d.
is a heptagon
is a quadrilateral
____ 14. Which figure below is not a convex polygon?
a.
b.
c.
____ 15. Name a polygon with 6 sides.
a. pentagon
b. octagon
c.
Short Answer
16. Find the length of AB.
4
d.
quadrilateral
d.
hexagon
Name: ______________________
ID: A
17. Find the approximate length of the segment from point C to the midpoint of AB.
18. The midpoint of JK is M ÊÁË −2, − 2 ˆ˜ . One endpoint is J(4, 3). Find the coordinates of the other endpoint.
19. Determine the coordinates of the midpoint of GH and find the approximate distance GH for the points
G ÊÁË −6, − 7 ˆ˜ and H ÊÁË 3, 6 ˆ˜ .
20. Find the midpoint of the segment with endpoints (4, –3) and (–6, 7).
5
Name: ______________________
ID: A
21. If m∠JOK = 28° and m∠JOL = 58°, then what is the measure of ∠KOL?
22. Classify the angle as right, acute, or obtuse.
Complete the conditional statement to make a true statement.
23. If ∠G and ∠H are supplementary and m∠H = 67°, then ________.
24. Solve for x:
25. ∠1 and ∠2 form a linear pair. m∠1=73°. Find m∠2.
26.
Name a pair of vertical angles in the figure above.
6
Name: ______________________
ID: A
27. The lengths (in inches) of two sides of a regular octagon are represented by the expressions 2x + 4 and
3x − 8. Find the length of a side of the octagon.
28. The expressions 5x − 4 and3x represent two side lengths (in meters) of a regular octagon. Find the length
of a side of the octagon.
û
û
29. The expressions ( 3x + 18 ) and ( 5x − 42 ) represent two angle measures of a regular pentagon. Find the
measure of an angle of the pentagon.
7
ID: A
Geometry Mastery Test #1 Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
A
D
C
D
C
D
A
D
C
C
A
D
A
A
D
SHORT ANSWER
16.
170 ≈ 13.0
17.
40 ≈ 6.3
18. (–8, –7)
3
1
19. midpoint = (− , − )
2
2
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
distance = 250 ≈ 15.8
(–1, 2)
30°
acute
m∠G = 113°
x=3
107°
∠1 and ∠3 or ∠2 and ∠4
28 inches
6 meters
108 û
1