Quiz about Solving with Similar Triangles

Question 1

Accepted Answer

Yes, they are similar by SSS.

Answer

Yes, they are similar by SAS.

Answer

No, they're not similar.

Answer

Yes, they're similar by AA

Question 2

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

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 3

All angles in similar figures are congruent.

Accepted Answer

True

Answer

False

Question 4

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

Accepted Answer

x = 16.5 cm

Answer

x = 19 cm

Answer

x = 24 cm

Answer

x = 3 cm

Question 5

Question 5.

Accepted Answer

4

Answer

10

Answer

14

Answer

9

Question 6

Question 6.

Accepted Answer

12

Answer

144

Answer

18

Answer

72

Question 7

Question 7.

Accepted Answer

No, they're not similar.

Answer

Yes, they're similar by AA.

Answer

Yes, they are similar by SAS.

Answer

Yes, they are similar by SSS.

Question 8

Two shapes that are similar are also congruent

Accepted Answer

False

Answer

True

Question 9

Two shapes that are congruent are also similar

Accepted Answer

True

Answer

False

Question 10

All squares are similar

Accepted Answer

True

Answer

False

Question 11

Are the triangles similar?

Accepted Answer

Not similar.

Answer

Yes, similar by AA.

Answer

Yes, similar by SAS.

Answer

Yes, similar by SSS.

Question 12

Are the triangles similar?

Accepted Answer

Yes, similar by SAS.

Answer

No, not similar.

Answer

Yes, similar by AA.

Answer

Yes, similar by SSS.

Question 13

Solve for x.

Accepted Answer

8.5

Answer

10.5

Answer

5

Answer

6

Question 14

Are the triangles similar?

Accepted Answer

Yes, similar by AA.

Answer

Yes, similar by SSS.

Answer

No, not similar.

Answer

Yes, similar by SAS.

Question 15

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

Accepted Answer

28 ft.

Answer

16 ft.

Answer

24 ft.

Answer

21 ft.

Question 16

All corresponding sides are proportional (same scale factor) in similar figures.

Accepted Answer

True.

Answer

False.

Question 17

The triangles are similar. Solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 18

Solve for 'f'.

Accepted Answer

4

Answer

6

Answer

8

Answer

3

Question 19

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 20

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

48 feet

Question 21

Solve for x.

Accepted Answer

28

Answer

1/24

Answer

1/28

Answer

12

Question 22

Question 22.

Accepted Answer

6.25 ft

Answer

4 ft

Answer

1.25 ft

Answer

5.75 ft

Question 23

Identify the transformation from ABC to A'B'C'.

Accepted Answer

Reflection across the x-axis

Answer

90^o clockwise rotation

Answer

90^o counter clockwise rotation

Answer

Reflection across the y-axis

Question 24

Are the triangles similar?

Accepted Answer

Yes, by AA

Answer

Not similar

Answer

Yes, by SAS

Answer

Yes, by SSS

Question 25

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 26

In what year was the first Superbowl played?

Accepted Answer

1967

Answer

1958

Answer

1962

Answer

1951

Question 27

What is the midpoint between (3, -1) and (7, -5)

Accepted Answer

(5, -3)

Answer

(5, -2)

Answer

(10, -6)

Answer

(2, -2)

Question 28

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 29

Complete each proportion.

CB / DM = AC / ?

Accepted Answer

AD

Answer

DC

Answer

MA

Answer

BC

Question 30

Complete each proportion.

AB / AM = ? / DM

Accepted Answer

BC

Answer

AC

Answer

MD

Answer

MC

Question 31

Determine if the triangles are similar. If so find the scale factor.

Accepted Answer

Yes, by SAS. Scale factor is 3/1

Answer

Yes, by SAS. Scale factor is 3/2

Answer

Yes, by SAS. Scale factor is 1/2

Answer

No, not similar.

Question 32

If the triangles ARE similar by AA, finish the similarity statement.

Accepted Answer

TUV

Answer

VUT

Answer

UVT

Answer

TVU

Question 33

Find side length X.

Accepted Answer

15

Answer

16

Answer

18

Answer

2.4

Question 34

Find side length X.

Accepted Answer

10

Answer

22.5

Answer

9

Answer

7.5

Question 35

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

Accepted Answer

Not Similar

Answer

AA

Answer

SAS

Answer

SSS

Question 36

Are the triangles similar? If so, how?

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 37

What is the scale factor of these similar shapes?

Accepted Answer

11

Answer

10

Answer

7

Answer

9

Question 38

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

Accepted Answer

the missing side is 12, the perimeter is 36

Answer

the missing side is 12, the perimeter is 24

Answer

the missing side is 8, the perimeter is 36

Answer

the missing side is 12, the perimeter is 12

Question 39

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

Accepted Answer

17.5 m

Answer

9 m

Answer

15.2 m

Answer

12 m

Question 40

Are the triangles similar? If so, how?

Accepted Answer

Not similar

Answer

Similar by AA

Answer

Similar by SAS

Answer

Similar by SSS

Question 41

Given that Triangle BAC is similar to Triangle EDF. Find the angle ABC.

Accepted Answer

45

Answer

22

Answer

113

Answer

18

Question 42

Question 42.

Accepted Answer

4

Answer

7

Answer

12

Answer

6

Solving with Similar Triangles

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