Quiz about Applying Congruency and/or Similarity to Solve Problems

Question 1

Which similarity statement is true for the figures shown?

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

AAS

Question 2

Are the following triangles similar? If so, which postulate or theorem justifies this?

Accepted Answer

Yes, by SAS

Answer

Yes, by AA

Answer

Yes, by SSS

Answer

Not similar

Question 3

State if the triangles in each pair are similar. If so, state how you know.

Accepted Answer

AA~

Answer

SSS ~

Answer

SAS~

Answer

NOT ~

Question 4

Are these two triangles similar? Which similarity criterion do you use to prove it?

Accepted Answer

Yes, AA

Answer

Yes, SSS

Answer

Not Similar

Answer

Yes, SAS

Question 5

Find missing side

Accepted Answer

7 m

Answer

5 m

Answer

9 m

Answer

11 m

Question 6

Why are the triangles similar?

Accepted Answer

AA~

Answer

SAS~

Answer

SSS~

Answer

AAS~

Question 7

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. How tall is the tree?

Accepted Answer

20 feet

Answer

24 feet

Answer

29 feet

Answer

51 feet

Question 8

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Not Similar

Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Yes, SAS Similarity

Question 9

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 10

Find the height of the building

Accepted Answer

108ft

Answer

74ft

Answer

100ft

Answer

104ft

Question 11

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

Answer

78 feet

Question 12

Solve for x. HINT: Set up a proportion!

Accepted Answer

143

Answer

100

Answer

4

Answer

95

Question 13

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

not similar

Question 14

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 15

Are the triangles similar? If yes, what did you use.

Accepted Answer

Not Similar

Answer

Yes, by AA ~

Answer

Yes, by SAS ~

Answer

Yes, by SSS ~

Question 16

REVIEW:
Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 17

A 25-foot flagpole casts a shadow that is 37.5 feet long. A man standing near the flagpole is 6 feet tall. At the same time of day, how long is his shadow?

Accepted Answer

9 ft

Answer

4 ft

Answer

12 ft

Answer

15 ft

Question 18

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, AA Similarity Theorem

Answer

Yes, SSS Similarity Theorem

Answer

Yes, SAS Similarity Theorem

Answer

Not Similar

Question 19

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? Hint: the figures are similar triangles.

Accepted Answer

72 feet

Answer

8 feet

Answer

36 feet

Answer

144 feet

Applying Congruency and/or Similarity to Solve Problems

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