Free Printable Unit 5 - Plane Geometry and Similarity Preview

1.

a)

vertical

b)

supplementary

c)

complementary

d)

none of the above

2.

a)

vertical

b)

supplementary

c)

complementary

d)

none of the above

3.

a)

vertical

b)

supplementary

c)

complementary

d)

none of the above

4.

a)

vertical

b)

supplementary

c)

complementary

d)

none of the above

5.

Vertical angles are

a)

50 degrees

b)

congruent

c)

make a straight line

6.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

7.

What is the measure of the missing angle?

a)

39

b)

129

c)

119

d)

129

8.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

9.

Find the value of x.

a)

17

b)

28

c)

68

d)

39.5

10.

a)

145

b)

55

c)

35

d)

45

11.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

12.

What is the value of "a"?

a)

75°

b)

65°

c)

55°

d)

85°

13.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

14.

What is the value of "x"?

a)

10

b)

11

c)

12

d)

13

15.

If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?

a)

Acute Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

16.

If a triangle has all angles less than 90° and two equal sides, what type of triangle is it?

a)

Acute Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

17.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

18.

Supplementary angles always add up to

(a)

19.

Complementary angles always add up to

(a)

20.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

21.

What is the area of this circle?

a)

201.06 square meters

b)

50.24 square meters

c)

123.12 square meters

d)

25.12 square meters

22.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

18.84 cm²

d)

28.26 cm²

23.

A circle has a diameter of 17 inches. What is the area?

a)

26.69 in²

b)

226.87 in²

c)

72.25 in²

d)

53.38 in²

24.

The radius of a circle is (a) the diameter.

Choose from the below words

half

twice

triple

25.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

26.

Find the area.

a)

$472.64in^2$

b)

$144in^2$

c)

$452.16in^2$

d)

$167in^2$

27.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

28.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

29.

What is the area of this circle?

a)

1384.74 $ft^2$

b)

2142.12 $ft^2$

c)

5541.77

d)

1289.12 $ft^2$

30.

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

31.

A circular swimming pool is 21 feet in diameter.

How many square feet is the area of the pool?

a)

693 ft²

b)

346.5 ft

c)

65.94 ft²

d)

346.2 ft²

32.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

33.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

34.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

35.

What is the circumference of a circle with a diameter of 56 m?

a)

175.8 m

b)

176.8 m

c)

165.8 m

d)

186.8 m

36.

What is the formula for finding the circumference of a circle?

a)

C = r²

b)

C = rd

c)

A = π·r²

d)

C = π·d

37.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1

38.

If the radius of a circle is 12.5 meters, the diameter is ____

a)

6.25 meters

b)

125 meters

c)

25 meters

d)

50 meters

39.

If the diameter of a circle is 50 yards, the radius is _____

a)

100 yards

b)

25 yards

c)

150 yards

d)

15 yards

40.

What is the area of this circle?

a)

1256.64 in²

b)

31.41 in²

c)

314 in²

d)

62.8 in²

41.

Area is measured in:

a)

units

b)

cubic units

c)

square units

42.

Perimeter is measured in:

a)

units

b)

cubic units

c)

square units

43.

What is the formula for the area of a parallelogram?

a)

A = Bh

b)

A = 1/3Bh

c)

A = 1/2bh

d)

A = bh

44.

To calculate the amount of carpeting needed for your bedroom, which of the following should you find:

a)

Area

b)

Perimeter

c)

Surface Area

d)

Volume

45.

What is the perimeter of the shaded figure?

a)

4 units

b)

6 units

c)

10 units

d)

2 units

e)

14 units

46.

What is the area of the shaded figure?

a)

4 square units

b)

6 square units

c)

10 square units

d)

2 square units

47.

What is the perimeter of this figure?

a)

40 square centimeters

b)

40 centimeters

c)

26 centimeters

d)

26 centimeters squared

48.

What is the area of the rectangle?

a)

42 square centimeters

b)

40 square centimeters

c)

40 centimeters

d)

42 centimeters

e)

13 centimeters

49.

What is the area of the rectangle?

a)

9 square units

b)

9 units

c)

16 square units

d)

16 units

e)

12 units

50.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

51.

Find the area.

a)

16 cm²

b)

32 cm²

c)

3500 cm²

d)

60 cm²

52.

What is the area of this rectangle?

a)

40 square feet

b)

28 feet

c)

16 square feet

d)

100 square feet

53.

Calculate the area of this shape

a)

21 cm²

b)

9.5 cm

c)

19 cm²

d)

9.5 cm²

54.

What is the area of this rectangle?

a)

84.24 square yards

b)

18.5 square yards

c)

84.24 yards

d)

37 square yards

55.

Name that shape.

a)

quadrilateral

b)

quadrilateral, parallelogram

c)

quadrilateral, rectangle

d)

quadrilateral, rhombus

56.

Find the area.

a)

55 square feet

b)

60 square feet

c)

16 square feet

d)

28 square feet

57.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

58.

If a rectangle has a length of 4.5 inches and a width of 12.8 inches, what would the area of the rectangle be?

a)

51.2 square inches

b)

34.6 square inches

c)

57.6 inches squared

d)

62.8 inches squared

59.

What is the area of a square with a side length of 14 inches?

a)

14 square inches

b)

28 square inches

c)

48 square inches

d)

196 square inches

e)

56 square inches

60.

The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?

a)

9 units

b)

7 units

c)

10 units

d)

8 units

61.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

62.

Find the area of a triangle with a height of 4 mm and a base of 6 mm?

a)

5 mm squared

b)

6 mm squared

c)

12 mm squared

d)

24 mm squared

63.

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

64.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

65.

Find the area:

a)

40 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

66.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

67.

Area?

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

68.

What is the area of this trapezoid?

a)

48 m²

b)

68 m²

c)

88 m²

d)

136 m²

69.

Find the area of the trapezoid

a)

36 meters squared

b)

72 meters squared

c)

18 meters squared

70.

What is the area of this trapezoid?

a)

4.5 cm²

b)

6.5 cm²

c)

6.8 cm²

d)

9 cm²

71.

What is the area?

a)

150 ft²

b)

180 ft²

c)

315 ft²

d)

378 ft²

72.

What is the area?

a)

228 ft²

b)

288 ft²

c)

114 ft²

d)

123.5 ft²

73.

A trapezoid has one base of 12 feet, the other base of 8 feet and a height of 9 feet. What is its area?

a)

90 ft²

b)

864 ft²

c)

108 ft²

d)

72 ft ²

74.

A trapezoid has two bases. One is 16 inches, the other is 2 inches. The height of the trapezoid is 11 inches. What is its area?

a)

176 in²

b)

49.5 in²

c)

99 in²

d)

198 in²

75.

Find the area.

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

76.

a)

50 in²

b)

100 in²

c)

200 in²

d)

25 in²

77.

What is the area of the figure?

a)

$12.8\ m^2$

b)

$6.4\ m^2$

c)

$7.7\ m^2$

d)

$13.6\ m^2$

78.

Match the following

a)

60 square mm

1.

Area of parallelogram

b)

44 square mm

2.

Area of trapezoid

c)

104 square mm

3.

Area of composite figure

d)

a figure composed of two or more two-dimensional figures

4.

composite figure

e)

the number of square units a figure covers

5.

area

79.

Which is the best estimate of the area of the figure?

a)

$12,717\ ft^2$

b)

$8,100\ ft^2$

c)

$27,176\ ft^2$

d)

$19,074\ ft^2$

80.

Select the best estimate of the area of the figure?

a)

$150\ in^2$

b)

$14\ in^2$

c)

$36\ in^2$

d)

$50\ in^2$

81.

What is the area of the figure?

a)

$275\ cm^2$

b)

$75\ cm^2$

c)

$125\ cm^2$

d)

$200\ cm^2$

82.

What is the area of the figure? (a)

Choose from the below words

$4\ in^2$

$2\ \frac{2}{3}\ in^2$

$6\ in^2$

$1\ \frac{1}{3}\ in^2$

83.

A design that is painted on a wall is composed of a square and two right triangles. Each side of the square and the height of each triangle measures 4.5 inches. The base of each triangle measures 6 inches. What is the total area of the painted design?

(a)

84.

A backyard is composed of a trapezoid and a rectangle. The height of the rectangle is 12 feet. The base of the rectangle and one base of the trapezoid each measure 30 feet. The height of the trapezoid is 15 feet and its second base measures 10 feet. What is the area of the backyard?

(a)

85.

What is the area of the unshaded region?

a)

$117\ cm^2$

b)

$33.5\ cm^2$

c)

$58.5\ cm^2$

d)

$25\ cm^2$

86.

What is the area of the unshaded region? (a)

Choose from the below words

$16\ ft^2$

$32\ ft^2$

$8\ ft^2$

87.

Triangle (a) is similar to triangle ADE.

Choose from the below words

ABC

AEC

ADB

ADC

88.

Match the following angles and sides of $\Delta ABC$ to the corresponding angles and sides of $\Delta DEF$

a)

$\angle A$

1.

D

b)

$\angle B$

2.

E

c)

$\angle C$

3.

F

d)

$\overline{AB}$

4.

DE

e)

$\overline{BC}$

5.

EF

89.

Scale factor is the (a) of corresponding sides in a figure.

Choose from the below words

ratio

sum

lengths

enlargement

reduction

congruency

90.

The figures are similar. Therefore the length of x is (a) .

Choose from the below words

20 inches

16 inches

8 inches

30 inches

91.

Reorder the following to show corresponding angles and sides with pentagon $QRSTU$

a)

E

b)

F

c)

G

d)

H

e)

I

1)

2)

3)

4)

5)

92.

The two trapezoids below are similar. What is the length of segment RS?

a)

$\overline{RS}=11.5m$

b)

$\overline{RS}=4.6m$

c)

$\overline{RS}=9.3m$

d)

$\overline{RS}=46m$

93.

The two triangles are similar. Match the following side lengths.

a)

$\overline{XY}\ =$

1.

8

b)

$\overline{XZ}\ =$

2.

6

c)

$\overline{YZ}\ =$

3.

10

d)

$\overline{YZ}\ \ne$

4.

12.5

94.

Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1 inch = 25 feet.

The height of Troy's drawing is (a)

inches tall.

Choose from the below words

12.2

7625

305

10.5

95.

A square has a side length of (a) It is enlarged by a scale factor of 3 and the new side length is (b)

Choose from the below words

6 inches.

18 inches.

12 inches.

8 inches.

96.

Figure ABCD is similar to figure WXYZ. Write a proportion using corresponding sides that must be true for these figures.

97.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

98.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

99.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

100.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

101.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

a)

15 in

b)

9 in

c)

7 in

d)

13 in

102.

Edgar drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 34 meters wide in real life. How wide is the parking lot in the drawing?

a)

85 cm

b)

68 cm

103.

Norris is doing renovations in the living room of his home. The length of the room is 22 feet, and the width of the room is 19 feet. A proportional scale drawing of the room was created that has width of 38 inches. What is the length in the scale drawing?

a)

51 in

b)

44 in

c)

50 in

d)

59 in

104.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

a)

90 ft

b)

7.5 ft

c)

4.5 ft

d)

45 in

105.

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

a)

300 miles

b)

1000 miles

c)

900 miles

d)

600 miles

106.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

107.

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5 m

b)

13.5 m

c)

1.5 m

d)

1.7 m

108.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

109.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

110.

If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?

a)

1cm : 9ft

b)

1cm : 8ft

c)

4cm : 1ft

d)

1cm : 4ft

Unit 5 - Plane Geometry and Similarity Preview

Total questions: 110

Worksheet time: 6hrs 27mins

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