Quiz about Similar Figures and Scale Factor

Question 1

In similar figures, corresponding sides are ____________.

Accepted Answer

Proportional

Answer

Congruent

Answer

Equal

Answer

Parallel

Question 2

In similar figures, corresponding angles are ___________.

Accepted Answer

Congruent

Answer

Parallel

Answer

Proportional

Answer

Constant

Question 3

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

Accepted Answer

9.75

Answer

3.75

Answer

10

Answer

12

Question 4

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 5

Find the perimeter of the large triangle.

Accepted Answer

36

Answer

24

Answer

12

Answer

54

Question 6

Which side length corresponds with EF?

Accepted Answer

LM

Answer

ML

Answer

OL

Answer

EH

Question 7

Sides that are in the same position are called

Accepted Answer

Corresponding Sides

Answer

Corresponding Angles

Answer

The Same

Answer

Congruent Sides

Question 8

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

Accepted Answer

130 km

Answer

100 km

Answer

70 km

Answer

150 km

Question 9

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.

Accepted Answer

14 in

Answer

7 in

Answer

9 in

Answer

12 in

Question 10

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 11

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

Accepted Answer

1cm : 8ft

Answer

1cm : 9ft

Answer

4cm : 1ft

Answer

1cm : 4ft

Question 12

Which triangle is similar to the above triangle ?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 13

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?

Accepted Answer

1 inch = 42 miles

Answer

42 inches = 1 mile

Answer

40 inches = 1 mile

Answer

1 inch = 40 miles

Question 14

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

Accepted Answer

7.5

Answer

13.5

Answer

1.5

Answer

1.7

Question 15

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

Accepted Answer

7 in

Answer

14 in

Answer

42 in

Answer

56 in

Question 16

If the scale factor is less than one, the new figure will be

Accepted Answer

a reduction

Answer

an enlargement

Answer

a scale factor

Answer

bigger

Question 17

If the scale factor is greater than one, the new figure will be

Accepted Answer

an enlargement

Answer

a reduction

Answer

a scale

Answer

not proportional

Question 18

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

Accepted Answer

192 km

Answer

87 km

Answer

216 km

Answer

33 km

Question 19

Are the following similar? Why or why not?

Accepted Answer

Yes

Answer

No, the corresponding angles are not equal.

Answer

No, the ratios of the corresponding sides are not equal.

Question 20

What is the scale factor from ABCD to MNOP?

Accepted Answer

2/3

Answer

3/2

Answer

2

Answer

3

Question 21

Jill's room is 12.5 feet long and 11.5 feet wide. She made a scale drawing of the room with a scale of 0.5 inch= 2 feet.  What is the PERIMETER of Jill's room in the drawing described?

Accepted Answer

12 inches

Answer

24 inches

Answer

48 inches

Answer

96 inches

Question 22

Use the diagram to the right to determine the distance across Catfish Lake. Assume the triangles are similar.

Accepted Answer

3 km

Answer

6.75 km

Answer

4.1 km

Answer

2 km

Question 23

_________ ________ is the number you multiply by the sides to create a similar figure.

Accepted Answer

Scale Factor

Answer

Corresponding Angle

Answer

Pi

Answer

Mid Point

Question 24

What is the scale factor from the large triangle to the small triangle?

Accepted Answer

3/4

Answer

1/2

Answer

2/3

Answer

2

Question 25

The Waccamaw Bridge is 60 yards long. The length of a model of the bridge is 15 inches long. What is the scale of the model?

Accepted Answer

one inch = 4 yards

Answer

one inch = .25 yards

Answer

one inch = 144 inches

Question 26

The Waccamaw Bridge is 60 yards long. The length of a model of the bridge is 15 inches long. What is the scale of the model?

Accepted Answer

one inch = 4 yards

Answer

one inch = .25 yards

Answer

one inch = 144 inches

Question 27

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 63

Answer

x = 9

Answer

x = 28

Answer

x = 7

Question 28

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 29

Find y.

Accepted Answer

12

Answer

144

Answer

18

Answer

72

Question 30

Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?

Accepted Answer

60 degrees

Answer

30 degrees

Answer

150 degrees

Answer

120 degrees

Question 31

The two triangular prisms shown above are similar.
What is the value of x, the height of the larger prism?

Accepted Answer

6 cm

Answer

6.8 cm

Answer

4 cm

Answer

7.2 cm

Question 32

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

Accepted Answer

4

Answer

5

Answer

6

Answer

8

Question 33

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

Accepted Answer

They have corresponding angles that are congruent.

Answer

They are the same size and shape.

Answer

They are the same size but different shapes.

Answer

They have corresponding sides that are congruent.

Similar Figures and Scale Factor

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