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Plane Geometry and Similarity Pre-Assessment

Total questions: 59

Worksheet time: 4hrs 25mins

Name
Class
Date
1.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
2.

Does 7 inches represent the diameter or radius of the circle?

a)

Diameter

b)

Radius

3.

What is the area of this circle?

a)

163.24 cm2

b)

15.32 cm2

c)

124.24 cm2

d)

113.04 cm2

4.

The most popular size pizza at Pizza Parlor is a large pizza with a 12-inch radius. Which of the following best represents the circumference of this pizza?

a)

62.84 inches

b)

60 inches

c)

75.36 inches

d)

452.16 inches

5.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
6.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
7.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
8.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference?

a)

11.32 ft

b)

12.25 ft

c)

10.99 ft

d)

8.75 ft

9.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
10.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
11.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

12.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
13.
a)
22.5 cm2
b)
45 cm2
c)
15.75 cm2
d)
31.5 cm2
14.
What is the area of this shape?
a)
108 cm2
b)
60 cm2
c)
432 cm2
d)
216 cm2
15.
What is the base and the height of the triangle in this composite shape?
a)
base: 8cm
height: 5 cm
b)
base: 5 cm
height: 8 cm
c)
base: 5 cm
height: 5 cm
d)
base: 1 cm
height: 2 cm
16.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2
17.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
18.
 What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
19.
What is the area of this composite shape?
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
20.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
21.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
22.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
23.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
24.
What is the scale factor from the smaller quadrilateral to the larger?
a)
scale factor = 4
b)
scale factor = 10
c)
scale factor = 3
d)
scale factor = 2
25.
What is the scale factor from the large triangle to the small triangle?
a)
1/2
b)
2/3
c)
3/4
d)
2
26.
What formula is this used for:
πr²
a)
Circumference 
b)
Area
c)
Surface Area
d)
Volume
27.
What formula is this used for:
πd
a)
Area
b)
Circumference 
c)
Surface Area
d)
Volume 
28.
Radius 6 cm
What is the diameter? 
a)
36 cm
b)
12 cm
c)
6 cm
d)
3 cm 
29.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
30.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
31.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m 
32.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
33.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
34.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
35.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
36.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
37.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
38.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

39.

What is the area of the composite figure?

a)

80 cm2

b)

16 cm2

c)

96 cm2

d)

32 cm2

40.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

41.

Find the area of the composite figure

a)

3

b)

51.5

c)

32

d)

44

42.
 What is the area of the figure?
a)
48 ft2
b)
216 ft2
c)
65 ft2
d)
128 ft2
43.

Find the area of the figure shown.

a)

34 units2

b)

960 units2

c)

220 units2

d)

480 units2

44.
a)

141 cm2

b)

114 cm2

c)

140 cm2

d)

411 cm2

45.
 Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
16,240 ft²
c)
16,000 ft²
d)
2,400 ft²
46.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
47.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
48.
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .
a)
284.52 ft2
b)
228 ft2
c)
317 ft2
d)
116.71 ft2
49.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
50.
If the scale factor is 4, what is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
51.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
52.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
53.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
54.
A model of a flagpole has a scale of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
55.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
56.
The scale on a map is 1 inch = 200 miles. Smithville is 4.5 inches from Baytown on the map. What is the actual distance in miles between Smithville and Baytown?
a)
44.4 miles
b)
48.8 miles
c)
90 miles
d)
900 miles
57.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
58.
Are the following similar? Why or why not?
a)
Yes, because the corresponding angles are congruent.
b)
No, the numbers are even
c)
No, the sides are 2 times larger, but the width is the same.
59.
Which side corresponds to side FE?
a)
GH
b)
ML
c)
NO
d)
EH