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2D Geometry Review

Total questions: 77

Worksheet time: 3hrs 59mins

Name
Class
Date
1.

The local school district has made a scale model of the campus of South Middle School including a proposed new building. The scale of the model is 1 inch = 4 feet.


The existing gym is 8 inches tall in the model. How tall is the actual gym?

a)

40 feet

b)

32 feet

c)

12 feet

d)

24 feet

2.

The local school district has made a scale model of the campus of Warrior Middle School including a proposed new building. The scale of the model is 1 inch = 4 feet.


If the Academic Building has a base measurement of 6.5 feet in real-life, what is the measurement of the base in the model?

a)

4 inches

b)

26 inches

c)

1.625 inches

d)

65 inches

3.

The school district is looking to purchase carpeting to completely cover the floor (area) of the New Building. The model of the New Building measures 6 inches by 6 inches. Carpets R Us will charge $10.50 per foot of carpeting .How much will it cost to for carpeting in the New Building?


1 inch = 4 feet

a)

$962

b)

$5,000

c)

$378

d)

$6,048

4.

How many degrees does x = ?

a)

45°

b)

180°

c)

90°

d)

54°

5.

Rectangle ABCD and Rectangle QRST are similar figures.


Find the measure of line QR.

a)

14 cm

b)

28 cm

c)

42 cm

d)

17 cm

6.

The total perimeter of this triangle is 180 inches. Solve for x.

a)

x =72 in

b)

x = 18 in

c)

x = 63 in

d)

x = 27 in

7.

The diagram shows a door that has a window in it. The front faces of the door and the

window are similar rectangles that have the dimensions shown below.

What is the height of the window?

a)

140 cm

b)

99.56 cm

c)

76.24 cm

d)

114.22 cm

8.

The height of a model ship is 5 feet. The height of the actual ship is 450 feet. What scale factor was used to create the model ship?

a)

90

b)

1/90

c)

15

d)

1/15

9.

Ana drew a map of a park. In the scale Ana used for the map, 2 centimeters represents 20 kilometers. The actual length of the park is 100 kilometers. What is the length, in centimeters, of the park on Ana’s map?

a)

10 cm

b)

20 cm

c)

50 cm

d)

140 cm

10.

What is the best estimate of the total area of this composite figure?

a)

100 square cm

b)

1,730 square cm

c)

120 square cm

d)

20 square cm

11.

Two triangles are similar. The corresponding sides have a ratio of 1:4. If the larger triangle has a side length of 48 centimeters, what is the measurement of the corresponding side of the smaller triangle?

a)

12 cm

b)

4 cm

c)

6 cm

d)

8 cm

12.

Ms. Welch wants to purchase a table pad to cover the entire top of her plant shelf. The dimension of the rectangular top are 2.5 feet by 4 feet. If the table pad costs $0.65 per square foot, how much will the table pad cost to completely cover the shelf?

a)

$2.60

b)

$1.63

c)

$6.50

d)

$650.00

13.

These two parallelograms are similar.


What is the length of line PQ? (remember, parallel sides are equal!)

a)

12 cm

b)

56 cm

c)

90 cm

d)

80 cm

14.

Which proportion is true?

a)

AE/ DE = AC/ BC

b)

AE/ AB = DA/CB

c)

AD/AB = AD/ AC

d)

ED/ CB = AE/ AD

15.

Mr. Alston used similar figures to make a design. Which statement about the figures in the design must be true?

a)

They must be same size and same shape.

b)

They must have corresponding congruent angles.

c)

They must have corresponding congruent sides.

d)

They must be different shapes.

16.

If a scale reads 1 inch = 14 feet, how many feet would 14 inches equal?

a)

28 feet

b)

14 feet

c)

196 feet

d)

234 feet

17.

Find the area of the shape

a)

16.56 sq in

b)

7.14 sq in

c)

10.28 sq in

d)

14.28 sq in

18.
Solve.
a)
386.97 cm2
b)
122.5 cm2
c)
50.3 cm2
d)
102.4 cm2
19.

What is the area of the shaded region?

a)

625 feet2

b)

134.375 feet2

c)

490.87 feet2

d)

228.4 feet2

20.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
21.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
22.

What is the area of the shaded region?

a)

~314 cm2

b)

~29 cm2

c)

~190 cm2

d)

~286 cm2

23.

What is the composite area of the figure?

a)

26.13 yards2

b)

52.26 yards2

c)

40.26 yards2

d)

200.96 yards2

24.

What is the total area of the UNSHADED region (the 2 white circles)?

a)

~373 cm sq

b)

~531 cm sq

c)

~452 cm sq

d)

~79 cm sq

25.

What is the total area of this figure?

a)

48 sq in

b)

10 sq in

c)

38 sq in

d)

86 sq in

26.

What is the area of the colored section?

a)

231.000 mm2

b)

31.605 mm2

c)

115.395 mm2

d)

346.395 mm2

27.

What is the total area of this figure?

a)

32 sq in

b)

14 sq in

c)

28 sq in

d)

18 sq in

28.

What is the area of the circle pictured?

a)

37.68 sq in

b)

18.84 sq in

c)

113.04 sq in

d)

452.16 sq in

29.

What is the area of this circle?

a)

31.4 sq in

b)

78.5 sq in

c)

314 sq in

d)

19.625 sq in

30.

What is the area of the shaded region?

a)

513 sq in

b)

475 sq in

c)

525 sq in

d)

50 sq in

31.

What is the area of this semi-circle?

a)

4.5 sq ft

b)

56 sq ft

c)

14 sq ft

d)

28 sq ft

32.

What is the area of the quarter circle pictured?

a)

200 cm2

b)

628 cm2

c)

1256 cm2

d)

314 cm2

33.
Find the missing side
a)
5 m
b)
7 m
c)
9 m
d)
11 m
34.
What angle corresponds with A? 
a)
D
b)
F
c)
C
d)
E
35.
The pair of figures are similar.
Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
36.
The polygons are similar.
Find x.
a)
x = 2
b)
x = 6
c)
x = 4 
d)
x = 8
37.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because corresponding angles are congruent and corresponding sides are in proportion.
b)
No, not similar because corresponding angles are congruent, but corresponding sides are NOT in proportion.
c)
Yes, same shape
d)
No, different sizes
38.
What side corresponds with AB? 
a)
BC
b)
FE
c)
DE
d)
FD
39.

Are the following similar?

Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

40.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent sides
41.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
42.
All angles in similar figures are congruent (equal).  
a)
True
b)
False
43.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
44.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
45.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
46.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
47.
REVIEW
solve 
5x - 14 = 8x + 4
a)
x = 6
b)
x = - 6
c)
x = -18/13
d)
x = 10/3
48.

REVIEW

solve

-72 = 6(n + -2)

a)

n = 12

b)

n = -35/3

c)

n = -10

d)

n = 10

49.

What is the length of side PQ on these similar figures?

a)

40 in

b)

34 in

c)

30 in

d)

13 in

50.

The following quadrilaterals are similar. If interior angles are congruent, what is the measure of angle P?

a)

85 degrees

b)

95 degrees

c)

110 degrees

d)

70 degrees.

51.

The following quadrilaterals are similar. If interior angles are congruent, what is the measure of angle Q?

a)

85 degrees

b)

95 degrees

c)

110 degrees

d)

70 degrees.

52.

The following quadrilaterals are similar. If interior angles are congruent, what is the measure of angle S?

a)

85 degrees

b)

95 degrees

c)

110 degrees

d)

70 degrees.

53.

The following quadrilaterals are similar. If interior angles are congruent, what is the measure of angle R?

a)

85 degrees

b)

95 degrees

c)

110 degrees

d)

70 degrees

54.

The following triangles are similar.


Which line segment corresponds to ↔AC?

a)

↔BC

b)

↔EF

c)

↔DE

d)

↔FD

55.

Are the following triangles similar?

a)

Yes - they have congruent angles.

b)

No - they do not have congruent angles.

56.

The following trapezoids are similar.

↔IG corresponds to:

a)

↔MK

b)

↔LK

c)

↔NL

d)

↔NM

57.

The following trapezoids are similar.

angle H corresponds to:

a)

angle M

b)

angle K

c)

angle N

d)

angle L

58.

The two triangles pictured are similar. The interior angle sum of a triangle is 180 degrees.


What is the measure of angle A?

a)

55 degrees

b)

45 degrees

c)

80 degrees

d)

180 degrees

59.

The two triangles pictured are similar. The interior angle sum of a triangle is 180 degrees.


What is the measure of angle C?

a)

55 degrees

b)

45 degrees

c)

80 degrees

d)

180 degrees

60.

Triangle ABC is similar to triangle DEF.


Which statement is NOT true?

a)

Angle D and Angle A have equal measure.

b)

Angle C and Angle F are congruent.

c)

AB/BC = DE/ EF

d)

AB/ DE = AC/ EF

61.

Given that triangles AEC and BED are similar, which proportion is true?

a)

CE/ DE = EB/ EA

b)

AE/ BE = AC/ BD

62.

What is the total area of this composite figure?

a)

72 square units

b)

74 square units

c)

84 square units

d)

70 square units

63.

What is the total area of this composite figure?

a)

1,260 square cm

b)

264 square cm

c)

369 square cm

d)

222 square cm

64.

What is the total area of this composite figure?

a)

36 cm2

b)

120 cm2

c)

48 cm2

d)

1,080 cm2

65.

What is the total area of this composite figure?

a)

84 square inches

b)

82 square inches

c)

74 square inches

d)

72 square inches

66.

What is the total area of this composite figure?

a)

68 units2

b)

140 units2

c)

70 units2

d)

75 units2

67.

What is the total area of this composite figure?

a)

18,550 square cm

b)

15,400 square cm

c)

4,750 square cm

d)

5,700 square cm

68.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
69.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12
70.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
71.
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 (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
72.
a)
69 yd2
b)
56 yd2
c)
72 yd2
d)
68 yd2
73.
What is the area of the composite figure?
a)
40 cm2
b)
65.5 cm2
c)
52.5 cm2
d)
25 cm2
74.
What is the definition of pi?
a)
The ratio of a circle's circumference to its diameter
b)
The ratio of a circle's radius to its diameter
c)
The ratio of a circle's area to its diameter
d)
The ratio of a circle's circumference to its are
75.
find the circumference of a circle with a diameter of 12mm .
a)
37.68mm
b)
18.84mm
c)
75.36mm
d)
none of the above
76.
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost? 
a)
$8.00
b)
$7.00
c)
$3.50
d)
$0.50
77.
What is the area of the yellow?
a)
78.5 mi2
b)
19.625 mi2
c)
39.25 mi2
d)
31.4 mi2

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