Henry8MA3 (H8MAGEOMETRY)
Name:_____________________________________________
Date:________________________
1. Two cylindrical science beakers are similar. The smaller one has a radius of 2 cm and a height of 4 cm. Its volume
is about 50 cubic cm. The larger beaker has a height of about 16 cm. Approximately what is the volume of the larger
beaker? (v = πr2h)
A. 3,200 cubic cm
B. 1,600 cubic cm
C. 800 cubic cm
D. 200 cubic cm
2. Quadrilateral
is shown on this coordinate plane.
What is the length, to the nearest unit, of diagonal
A. 8
B. 10
C. 12
D. 14
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Henry8MA3 (H8MAGEOMETRY)
3.
Alyssa is building a birdhouse. She needs a right triangle for the roof. Which triangle should Alyssa use?
A.
B.
C.
D.
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Henry8MA3 (H8MAGEOMETRY)
4.
A tennis ball is most like a
A. circle.
B. cone.
C. cylinder.
D. sphere.
5. What is the length of a diagonal of a rectangle with length 12 and width 5?
A. 7
B. 13
C. 17
D. 60
6.
Susan has two boxes. Each box is 12 cm high, 12 cm long, and 12 cm wide. Which statement describes Susan's
boxes?
A. The boxes are congruent, but not similar.
B. The boxes are similar, but not congruent.
C. The boxes are similar and congruent.
D. The boxes are only similar.
7.
Ryan's house lies 6 miles due east of Adrian's house. Adrian's house is
8 miles due south of Frank's house.
What is the shortest distance from Frank's house to Ryan's house?
A. 8 miles
B. 10 miles
C. 14 miles
D. 24 miles
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Henry8MA3 (H8MAGEOMETRY)
8. Margo is designing a band formation for a halftime ceremony at a football game. This drawing shows where
the band members will stand during the ceremony.
How many yards apart are the band members standing at points A and C?
A. 11
B. 33
C. 44
D. 55
Permission has been granted for reproduction by the Virginia Department of Education
© Virginia Department of Education
9.
The shape of the moon is most like a
A. cone.
B. cylinder.
C. pyramid.
D. sphere.
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Henry8MA3 (H8MAGEOMETRY)
10.
A.
B.
C.
D.
Permission has been granted for reproduction by the Virginia Department of Education
© Virginia Department of Education
11.
Given: ABC ~ DEF.
Which statement shown is a correct similarity statement?
A.
B.
C.
D.
BCA ~
BAC ~
CBA ~
CBA ~
EDF
EDF
DFE
FDE
12.
Triangle A and Triangle B are similar to each other.
What is the length of Triangle B's hypotenuse, rounded to the nearest whole number?
A. 6
B. 7
C. 8
D. 10
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Henry8MA3 (H8MAGEOMETRY)
13. Roger has a 3-inch-by-5-inch photograph. He is a good painter and wants to make a painting that looks exactly
like the photograph but larger. Which one of the following canvases should he buy for this painting?
A. 15 inches by 45 inches
B. 18 inches by 20 inches
C. 24 inches by 40 inches
D. 30 inches by 75 inches
14.
Determine the distance between points A and B.
A. 7
B. 4
C. 5
D. 29
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Henry8MA3 (H8MAGEOMETRY)
15. Scotty is making a train of dominoes on the floor.
How many dominoes are needed to complete the triangle?
A. 6
B. 12
C. 18
D. 36
Permission has been granted for reproduction by the Virginia Department of Education
© Virginia Department of Education
16. What is the measure of the missing side of the sail?
A. 18 feet
B. 20 feet
C. 22 feet
D. 24 feet
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Henry8MA3 (H8MAGEOMETRY)
17. Look at the triangles below.
Which of these triangles are most likely similar?
A. 1 and 2
B. 1 and 3
C. 2 and 3
D. 3 and 4
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Henry8MA3 (H8MAGEOMETRY)
18.
The locations of a student's house and two markets are shown on this coordinate plane.
Each unit represents one mile. To the nearest 0.1 mile, how much closer is Farmer's Garden than Produce
King to the student's house?
A. 0.4 mile
B. 0.7 mile
C. 1.8 miles
D. 2.9 miles
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Henry8MA3 (H8MAGEOMETRY)
19. Using the measures shown in the sketch, what is the length of the section of the ladder from the point where it
rests on the ground to the point where it touches the house?
A. 4.8 ft.
B. 7 ft.
C. 17 ft.
D. 23 ft.
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
20.
Fill in the blank. All ___________ are either similar or congruent to each other.
A. circles
B. triangles
C. rectangles
D. parallelograms
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Henry8MA3 (H8MAGEOMETRY)
21.
Sue left her house traveling due west towards the store. After 50 yards she traveled due north 120 yards to the store.
When she left the store she cut across the field and traveled along a straight path. How much shorter was the path Sue
took home then the path she took to the store?
A. 40 yards
B. 61 yards
C. 70 yards
D. 109 yards
22. A windlass is used to pull a boat to the dock. The rope is attached to the boat at a point 7 feet below the
level of the windlass.
What is the distance from the boat to the dock when the rope is 25 feet?
A. 25 ft
B. 24 ft
C. 18 ft
D. 7 ft
Permission has been granted for reproduction by the Virginia Department of Education
© Virginia Department of Education
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Henry8MA3 (H8MAGEOMETRY)
23.
Which of the following items is best described as a sphere?
A. pizza
B. soda can
C. cereal box
D. tennis ball
24. Seth can either ride his bike or walk to school. He can ride at 5 mph for 0.6 miles on Elm Street and then
0.8 miles on Maple Street, or he can walk at 2 mph on the walking trail.
How much longer should it take Seth to walk to school than to ride his bike?
A. 0.2 hours
B. 0.22 hours
C. 0.28 hours
D. 0.4 hours
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Henry8MA3 (H8MAGEOMETRY)
25. The diagram below shows the location of
Suppose that
on a coordinate plane.
is rotated 180° clockwise about the origin. What are the coordinates of the image of point E?
A. (–2, –4)
B. (–4, –2)
C. (4, –2)
D. (–4, 2)
This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.
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Henry8MA3 (H8MAGEOMETRY)
Answer Key
1. A) 3,200 cubic cm
2. A) 8
3. B)
4. D) sphere.
5. B) 13
6. C) The boxes are similar and congruent.
7. B) 10 miles
8. B) 33
9. D) sphere.
10. D)
11. B) BAC ~ EDF
12. B) 7
13. C) 24 inches by 40 inches
14. D) 29
15. A) 6
16. B) 20 feet
17. B) 1 and 3
18. B) 0.7 mile
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Henry8MA3 (H8MAGEOMETRY)
19. C) 17 ft.
20. A) circles
21. A) 40 yards
22. B) 24 ft
23. D) tennis ball
24. B) 0.22 hours
25. B) (–4, –2)
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