7th Grade – Domain 4: Geometry (23%)
1. The scale on a road map is 1 inch = 36 miles.
What is the actual length of a road that
1
measures 3 4 inches on the map? (MGSE7.G1)
A. 3
𝟏
𝟒
miles
B. 11 miles
𝟏
C. 108 𝟒 miles
D. 117 miles
2. Glenn wants to enlarge a photo. The original
photo is 4 inches wide by 6 inches long. He
wants the enlarged photo to be 6 inches wide
by 9 inches long. Which scale factor should e
use? (MGSE7.G1)
A.
B.
C.
D.
0.6
1
1.5
1.6
3. John drew two similar flags for a history
project, as shown below. (MGSE7.G1)
9 inches
X inches
10 inches
5 inches
What is the length of the missing side?
A.
B.
C.
D.
18 inches
5.5 inches
4.5 inches
4 inches
MGSE7.G.2
4. Stephanie’s teacher asked her to construct a triangle
with the following conditions: The triangle must
contain one angle that measures 30° and another
angle that measures less than 60°. What type of
triangle was Stephanie asked to construct?
A. Acute Triangle
B. Right Triangle
C. Isosceles Triangle
D. Obtuse Triangle
MGSE7.G.2
5. Franklin constructed the isosceles trangle below with
an angle that measures 80°. What is the measure of
one of the two base angles of the triangle?
A. 40°
B. 50.
C. 80°
D. 100°
MGSE7.G.2
6. Which one of the following sets of numbers could
possibly represent the side lengths of a triangle?
A. 13 cm, 5 cm, 6 cm
B. 3 cm, 4 cm, 8 cm
C. 2 cm, 7 cm, 6 cm
D. 9 cm, 12 cm, 2 cm
MGSE7.G.2
7. Drew constructed a quadrilateral that had the
following characteristics: One set of parallel sides and
no right angles. What type of quadrilateral did her
construct?
A.
B.
C.
D.
Trapezoid
Triangle
Rectangle
Parallelogram
MGSE7.G.3
8. What shape is produced if you cut this can in half
horizontally.
A. Triangle
C. Square
E. Circle
D. Rhombus
MGSE7.G.3
9. You slice a square pyramid horizontally as shown?
What will be the resulting shape if you remove
the top portion after slicing?
A. Square
C. Rectangle
E. Triangle
D. Octagon
MGSE7.G.3
10. What is the shape produced if you cut this prism
in
half vertically?
A. Sphere
E. Rectangle
C. Triangle
D. Square
MGSE7.G.3
15. What shape will be produced if you took a
horizontal slice of the figure below?
A. Reactangle
B. Square
C. Pentagon
D. Hexagon
MGSE7.G.4
12. The circular water fountain below has a diameter
of 18 ft. What is the area of the water fountain?
Use 3.14 for π.
A. 28.26 ft.²
B. 254.34 ft. ²
C. 56.52 ft. ²
D. 508.68 ft. ²
MGSE7.G.4
13. Tony needs to put trim at the hem of his round
tablecloth that has a radius of 10 feet. About
how many feet of trim must he purchase? Use
3.14 for π.
A. 628 feet
B. 314 feet
C. 31.40 feet
D. 62.8 feet
MGSE7.G.4
14. If the diameter of a circle is 2.5 inches, what is the
circumference of the circle? Use 3.14 for π.
A.
B.
C.
B.
𝐶
𝐶
𝐶
𝐶
=
=
=
=
7.85 𝑖𝑛𝑐ℎ𝑒𝑠
78.8 𝑖𝑛𝑐ℎ𝑒𝑠
15.7 𝑖𝑛𝑐ℎ𝑒𝑠
6.28 𝑖𝑛𝑐ℎ𝑒𝑠
MGSE7.G.4
15. In the figure below, a circle with center O and
radius of length 3 is inscribed in a square. What is
the approximate area of the shaded region? Use
3.14 for π. Show your work.
MGSE7.G.5
19. Study the figure below. Find the measure of angle a
and angle a and angle b.
A.
B.
C.
D.
𝑎
𝑎
𝑎
𝑎
= 15°,
= 20°,
= 25°,
= 30°,
𝑏
𝑏
𝑏
𝑏
= 90°
= 85°
= 80°
= 75°
MGSE7.G.5
16. What is the measure of angle x in the figure
below?
MGSE7.G.6
20. If the volume of the prism 120 cubic feet, what is
the length? Show your work.
A. 40°
C. 90°
B. 50°
D. 130°
MGSE7.G.5
17. What is the measure of angle x in the figure
below?
MGSE7.G.6
21. What is the surface of a cube with an edge length of
3 inches?
A. 9 in2
B. 18 in2
A. 30°
B. 60°
C. 120°
D. 140°
MGSE7.G.5
18. Set up and equation to find the value of x and
then find the measure of the angle on the left (L)
and the angle on the right (R).
𝐴.
𝐵.
C.
D.
𝑥 = 7, 𝐿 = 44°, 𝑅 = 74°
𝑥 = −7, 𝐿 = 30°, 𝑅 = 60°
𝑥 = −14, 𝐿 = 23°, 𝑅 = 53°
𝑥 = 14, 𝐿 = 51°, 𝑅 = 81°
C. 54 in2
D. 72 in2
MGSE7.G.6
23. What is trhe area of the trapezoid below?
A. 40 in2
B. 80 in2
C. 26.67 in2
D. 36 in2
MGSE7.G.6
22. What is the area of this partial circle if the radius
is 8 inches long? Leave your answer in terms of
π?
A. 64π in2
B. 32π in2
C. 16π in2
D. 48π in2