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Question : Determine whether the pair of triangles is congruent. : 2151717

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

**Determine whether the pair of triangles is congruent.**

1)

A) not congruent

B) congruent

2)

A) congruent

B) not congruent

3)

A) not congruent

B) congruent

4)

A) not congruent

B) congruent

5)

A) congruent

B) not congruent

6)

A) congruent

B) not congruent

7)

A) congruent

B) not congruent

8)

A) not congruent

B) congruent

**Find the ratio of the corresponding sides of the given similar triangles. Write the ratio in simplest form.**

9)

A) 2/5

B) 1/2

C) 2/1

D) 4/5

10)

A) 25/8

B) 25/24

C) 3/1

D) 8/25

11)

A) 6/11

B) 2/3

C) 11/9

D) 11/6

12)

A) 9/14

B) 14/9

C) 14/5

D) 5/4

**Given that the pair of triangles is similar, find the length of the side labeled n.**

13)

A) 9

B) 6

C) 3

D) 4

14)

A) 14

B) 18

C) 6

D) 12

15)

A) 26

B) 35

C) 20

D) 28

16)

A) 0.098

B) 1.25

C) 5

D) 12.5

17)

A) 0.36

B) 3.6

C) 225

D) 22.5

18) Round to the nearest tenth, if necessary.

A) 2.5

B) 0.4

C) 44.1

D) 10

19) Round to the nearest tenth, if necessary.

A) 42

B) 10.5

C) 7.7

D) 0.1

20) Round to the nearest tenth, if necessary.

A) 35.6

B) 34.8

C) 247.1

D) 2.2

**Solve. If necessary, round to the nearest tenth.**

21) A flagpole casts a shadow of 32 feet. Nearby, a 4-foot tree casts a shadow of 2 feet. What is the height of the flagpole?

A) 16 ft

B) 0.3 ft

C) 256 ft

D) 64 ft

22) If a flagpole 21 feet tall casts a shadow that is 28 feet long, find the length of the shadow cast by an antenna which is 24 feet tall.

A) 18 ft

B) 24.5 ft

C) 32 ft

D) 31 ft

23) The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 19 cm. The shortest side of the lobby is 7 cm. The longest side of the actual lobby will be 43 m. How long will the shortest side of the actual lobby be?

A) 0.2 m

B) 1.2 m

C) 15.8 m

D) 116.7 m

24) If a tree 17.5 feet tall casts a shadow that is 7 feet long, find the height of a tree casting a shadow that is 25 feet long.

A) 10 ft

B) 4.9 ft

C) 62.5 ft

D) 35.5 ft

25) A fire fighter needs to estimate the height of a burning building. She estimates the length of her shadow to be 8(1/4) feet long and the length of the building's shadow to be 81 feet long. Find the height of the building if the fire fighter is 5(1/2) feet tall.

A) 135 ft

B) 54 ft

C) 89.25 ft

D) 121.5 ft