Quiz about Similar Figures Review

Question 1

What is true about similar figures?

Accepted Answer

They have the same shape but different size

Answer

Everything is congruent

Question 2

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 3

In Similar figures the ________________ are the same.

Accepted Answer

Angles

Answer

Sides

Answer

Diagonals

Question 4

When figures are similar, their corresponding angles are__________________.

Accepted Answer

congruent

Answer

proportional

Answer

yellow

Answer

obtuse

Question 5

The figure is an example of a(n) ...

Accepted Answer

angle bisector

Answer

perpendicular bisector

Answer

median

Answer

midsegment

Question 6

What is line segment AC?

Accepted Answer

Altitude

Answer

Side

Answer

Hypotenuse

Answer

None of the above

Question 7

Find the scale factor (common ratio) between the two triangles.

Accepted Answer

3/2

Answer

1

Answer

9/4

Answer

4/9

Question 8

Which side is corresponding to 7?

Accepted Answer

21

Answer

15

Answer

18

Answer

5

Question 9

Which side is corresponding to 18?

Accepted Answer

6

Answer

5

Answer

7

Answer

15

Question 10

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Accepted Answer

SAS ~ Theorem

Answer

AA ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

Question 11

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Accepted Answer

SAS ~ Theorem

Answer

AA ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

Question 12

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Accepted Answer

AA ~ Theorem

Answer

SAS ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

Question 13

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Accepted Answer

Not similar

Answer

AA ~ Theorem

Answer

SAS ~ Theorem

Answer

SSS ~ Theorem

Question 14

Find the missing side using proportions.

Accepted Answer

d

Answer

a

Answer

b

Answer

c

Question 15

Find the missing side using proportions.

Accepted Answer

b

Answer

a

Answer

c

Answer

d

Question 16

What is the value of X?

Accepted Answer

X=2

Answer

X=4

Answer

X=6

Answer

X=3

Question 17

Find x. Simplify the answer fully.

Accepted Answer

$$3\ \sqrt[]{3}$$

Answer

$$3\ \sqrt[]{5}$$

Answer

$$5\ \sqrt[]{3}$$

Answer

$$7\ \sqrt[]{5}$$

Question 18

Find the length of AB.

Accepted Answer

6

Answer

36

Answer

18

Answer

12

Question 19

Find x.

Accepted Answer

12

Answer

80

Answer

60

Answer

36

Question 20

Which is the correct proportion to find the altitude?

Accepted Answer

$$\frac{27}{x}=\frac{x}{9}$$

Answer

$$\frac{27}{x}=\frac{9}{x}$$

Answer

$$\frac{27}{x}=\frac{9}{36}$$

Answer

$$\frac{9}{x}=\frac{27}{x}$$

Question 21

Which is the correct proportion to find the altitude?

Accepted Answer

$$\frac{85}{x}=\frac{x}{36}$$

Answer

$$\frac{121}{x}=\frac{36}{x}$$

Answer

$$\frac{36}{x}=\frac{x}{9}$$

Question 22

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 23

What is the measure of x?

Accepted Answer

9

Answer

12

Answer

15

Answer

6

Question 24

These 2 triangles are similar. Determine the value of x.

Accepted Answer

x = 3

Answer

x = 9

Answer

x = 6

Answer

x = 4

Question 25

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 26

Find side length X.

Accepted Answer

10

Answer

22.5

Answer

9

Answer

7.5

Question 27

Find the missing length.

Accepted Answer

21

Answer

18

Answer

16

Answer

24

Question 28

Find the value of x.

Accepted Answer

17.5

Answer

10

Answer

7

Answer

17

Question 29

What is the value of the missing segment?

Accepted Answer

6

Answer

15

Answer

20

Answer

16

Question 30

Solve for x.

Accepted Answer

7

Answer

9

Answer

8

Answer

5

Question 31

$$\frac{AB}{BM\ }=\ \frac{AC}{ }$$

Accepted Answer

CD

Answer

CA

Answer

MA

Answer

DM

Question 32

Find the missing length.

Accepted Answer

20

Answer

25

Answer

21

Answer

15

Question 33

Solve for x.

Accepted Answer

5

Answer

10

Answer

3

Answer

8

Question 34

Which one is NOT a similarity transformation?

Accepted Answer

A transformation and a reflection

Answer

A dilation

Answer

A dilation and a reflection

Answer

A transformation and a dilation

Question 35

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 36

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

only an enlargement

Answer

only a reduction

Answer

Neither an enlargement or a reduction

Question 37

What is the image of a triangle with vertices at (1, 1), (3, 1), and (2, 3) after it is dilated by a factor of 3 and then reflected over the x-axis?

Accepted Answer

(3, -3), (9, -3), and (6, -9)

Answer

(1, 3), (3, 3), and (2, 1)

Answer

(1, -1), (3, -1), and (2, -3)

Answer

(3, 3), (9, 3), and (6, 9)

Question 38

What are the coordinates of the image of a figure after it is dilated by a factor of 1.5 and then reflected over the y-axis if the pre-image has the coordinates (6, 8)?

Accepted Answer

(-9, 12)

Answer

(9, -8)

Answer

(4, 12)

Answer

(-6, 8)

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