Quiz about Similar Shapes and Proportions

Question 1

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Accepted Answer

proportional, congruent

Answer

congruent, proportional

Answer

congruent, congruent

Answer

proportional, proportional

Question 2

Are the triangles similar? Explain.

Accepted Answer

No, because only one angle of the triangles is congruent.

Answer

Yes, because two of the angles are congruent.

Answer

No, because only one triangle has a right angle.

Answer

Not enough information to determine.

Question 3

Solve the proportion.

Accepted Answer

k=5

Answer

k=3.3333333

Answer

k=60

Answer

k=90

Question 4

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 5

Solve the proportion.

Accepted Answer

q=4.5

Answer

q=2

Answer

q=9

Answer

q=6

Question 6

Are the following similar? Why or why not?

Accepted Answer

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

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 7

Solve for x.

Accepted Answer

18

Answer

12

Answer

9

Answer

36

Question 8

Solve for x.

Accepted Answer

3 ----- 10

Answer

10 ----- 3

Answer

44x+24
-----------
(2x+4)(4)

Answer

30
------
3.1

Question 9

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

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 10

Solve for x

Accepted Answer

1/2

Answer

25/8

Answer

11

Answer

53/4

Question 11

What side corresponds with AB?

Accepted Answer

DE

Answer

BC

Answer

FE

Answer

FD

Question 12

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

Accepted Answer

2.5 cups milk

Answer

1.75 cups milk

Answer

2 cups flour

Answer

2.25 cups milk

Question 13

Solve for b

Accepted Answer

8

Answer

17/12

Answer

4/3

Answer

1/8

Question 14

Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 12 points.
The test score is 75%.

Accepted Answer

p/12=75/100

Answer

p/12=100/75

Answer

p/100=12/75

Answer

p/75=12/100

Question 15

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.

Accepted Answer

c=15

Answer

c=18

Answer

c=21

Answer

c=16

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