Similar Figures TEST Name: Date: Period:

Similar Figures TEST

Name:___________________________________ Date: ________________Period: __________

1. Trapezoid ABCD is similar to trapezoid WXYZ.

Which statement must be true?

B 4 C

X

O 5

A D

10 Y

N 12.5

A. is 10 units long. B. corresponds to C. is congruent to D. is corresponding to

W

Z

2. On a sunny day, a 15 foot tall pole casts a 20 foot long shadow, how tall is a person who casts an 8 foot shadow?

A. 10.6 feet C. 37.5 feet

B. 6 feet D. 8 feet

3. Similar polygons have corresponding angles that are congruent and corresponding sides that are...

A. Congruent

B. Similar

C. Equal

D. Proportional

4. Triangles ABC and XYZ are similar.

A

3

6

C

B 8

9

Z

What is the perimeter of ? A. 51 units C. 25.5 units

X

Y B. 21 units D. 17 units

5. A scale drawing of a rectangular park measures 6.5 inches long and 4 inches wide. If the scale used for the drawing is 2 inches equals 5 yards, what is the perimeter of the park?

A. 26.25 yards C. 16.25 yards

B. 162.5 yards D. 52.5 yards

Similar Figures TEST Name:___________________________________ Date: ________________Period: __________

6. Brentwood and Sun City are 51 miles away from each other. How far away would the cities be on a map that has a scale of 3 inches:17 miles?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

7. A drawing of a tree and a wall are in the image below.

What is the height of the tree?

A. 1 foot

B. 16 feet

C. 36 feet

D. 22 feet

8. Similar figures have corresponding sides that are proportional and corresponding angles that are...

A. Corresponding

B. Similar

C. Congruent

D. Proportional

9. Given the following figures below, which of the following statements if true?

B

F

45?

D

75?

60?

A 45? 75? C A. ~ C. ~

60?

E

B. ~

D. ~

10. If ~, which of the following proportions is true?

A. =

C.

=

B.

=

D.

=

Similar Figures TEST Name:___________________________________ Date: ________________Period: __________

11. Dave's optometrist used medicine to dilate his eyes. Before dilation, his pupils had a diameter of 2.1 millimeters. After dilation, his pupils had a diameter of 6.3 millimeters. What was the scale factor of the dilation?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

12. Triangle is drawn below.

What is the measure of y in the diagram? A. 2 meters C. 12 meters

B. 3 meters D. 6 meters

13. Sandra calculated the distance between her home and New Orleans, Louisiana. The scale on the map showed

that

0.5

inch

represented

20

miles.

If

the

distance

between

Sandra's

house

and

New

Orleans

is

7

1 4

inches

on

the

map, what is the actual distance, in miles, from her home to New Orleans?

A. 290 miles C. 1.37 miles

B. .18 miles D. 29 miles

14.

A

square

has

a

side

length

of

3

1 2

inches.

The

scale

factor

of

2 3

was

used

to

create

a

new

square.

What

is

the

side

length of the new square?

A.

2

1 3

in

C.

2

1 2

in

B.

5

1 4

in

D. Not Here

Similar Figures TEST Name:___________________________________ Date: ________________Period: __________

15. Triangle is similar to triangle .

10

L

What is the length of ?

M 9

15

N

U 2.5

T

V

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

16.

A.

=

C.

=

B.

=

D.

=

17. MATH OERFrankie made a scale model of the Eifel Tower. The tower has an actual height of 960 feet. Frankie model a scale in which 1 inch represented 100 feet. Using words and numbers explain how you could find the height in inches of the model. Please include the height of the model in your answer.

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