Quiz about Triangle Similarity Theorem and Review

Question 1

Question 1.

Accepted Answer

9

Answer

25

Answer

16

Answer

7

Question 2

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 3

The triangles are similar by...

Accepted Answer

AA

Answer

SAS

Answer

ASA

Answer

SSS

Question 4

Determine whether the triangles are similar or not. If so, state how they are similar.

Accepted Answer

Yes, by AA Similarity

Answer

Yes, by SAS Similarity

Answer

Yes, by SSS Similarity

Answer

No, not similar

Question 5

Determine whether the triangles are similar.

Accepted Answer

AA

Answer

SSS

Answer

SAS

Answer

not similar

Question 6

If two figures are similar their angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 7

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 8

What is the height of the Tree?

Accepted Answer

20

Answer

15

Answer

30

Answer

10

Question 9

Find AE

Accepted Answer

12.5

Answer

18

Answer

11.75

Answer

13

Question 10

Find x.

Accepted Answer

21/2

Answer

54/7

Answer

56/3

Answer

11

Question 11

If the triangles are similar, find x

Accepted Answer

30

Answer

90

Answer

60

Answer

15

Question 12

Use the information in the diagram to determine the height of the tree.

Accepted Answer

80 feet

Answer

320 feet

Answer

40 feet

Answer

160 feet

Question 13

Find x.

Accepted Answer

10

Answer

-2

Answer

4

Answer

7

Question 14

Question 14.

Accepted Answer

? = 11

Answer

? = 22

Answer

? = 12

Answer

? = 2

Question 15

Question 15.

Accepted Answer

15

Answer

13

Answer

11

Answer

17

Question 16

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

Not necessarily similar

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

SAS Similarity Theorem

Question 17

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

SAS Similarity Theorem

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

Not necessarily similar

Question 18

If m< KJV = 59, determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

SAS Similarity Theorem

Answer

Not necessarily similar

Question 19

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

SAS Similarity Theorem

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

Not necessarily similar

Question 20

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

AA Similarity Theorem

Answer

SAS Similarity Theorem

Answer

Not necessarily similar

Question 21

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

SSS Similarity Theorem

Answer

AA Similarity Theorem

Answer

SAS Similarity Theorem

Answer

Not necessarily similar

Question 22

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

SSS Similarity Theorem

Answer

AA Similarity Theorem

Answer

SAS Similarity Theorem

Answer

Not necessarily similar

Question 23

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

Not necessarily similar

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

SAS Similarity Theorem

Question 24

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

SAS Similarity Theorem

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

Not necessarily similar

Question 25

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

Accepted Answer

Not necessarily similar

Answer

AA Similarity Theorem

Answer

SSS Similarity Theorem

Answer

SAS Similarity Theorem

Question 26

Question 26.

Accepted Answer

SAS~

Answer

SSS~

Answer

AA~

Answer

Not similar ~

Question 27

Question 27.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

Not Similar

Question 28

Question 28.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 29

Choose BOTH methods that can be used

Accepted Answer

SAS~

Accepted Answer

SSS~

Answer

AA~

Answer

Not similar

Question 30

Question 30.

Accepted Answer

SAS~

Answer

SSS~

Answer

AA~

Answer

Not similar

Question 31

Question 31.

Accepted Answer

SSS~

Answer

SAS~

Answer

AA~

Answer

Not similar

Question 32

Question 32.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

Not similar

Question 33

Question 33.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 34

Question 34.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

Not similar

Question 35

Question 35.

Accepted Answer

SAS~

Answer

SSS~

Answer

AA~

Answer

Not similar

Question 36

Question 36.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 37

Question 37.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 38

Question 38.

Accepted Answer

SAS~

Answer

SSS~

Answer

AA~

Answer

Not similar

Question 39

Question 39.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 40

Question 40.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 41

Choose BOTH methods that can be used

Accepted Answer

SAS~

Accepted Answer

SSS~

Answer

AA~

Answer

Not similar

Question 42

Question 42.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

Not similar

Question 43

Question 43.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 44

Question 44.

Accepted Answer

Not similar

Answer

SSS~

Answer

SAS~

Answer

AA~

Question 45

Question 45.

Accepted Answer

SAS~

Answer

SSS~

Answer

AA~

Answer

Not similar

Question 46

Choose BOTH methods that can be used

Accepted Answer

SAS~

Accepted Answer

SSS~

Answer

AA~

Answer

Not similar

Question 47

Complete each proportion.
CB / DM = AC / ?

Accepted Answer

AD

Answer

BM

Answer

MA

Answer

BC

Question 48

Complete each proportion.
AB / BM = ? / CD

Accepted Answer

AC

Answer

BC

Answer

MD

Answer

MC

Question 49

What is the value of X and Y ?

Accepted Answer

X=2.5 and Y=6.5

Answer

X=6.5 and Y=2.5

Answer

X=3 and Y=7

Answer

X=2 and Y= 5

Question 50

Complete the similarity statement.
ABC ~ ___

Accepted Answer

ZYX

Answer

XZY

Answer

YZX

Answer

XYZ

Question 51

2 triangles are similar if _____________.

Accepted Answer

their angles are congruent.

Answer

their sides are congruent.

Answer

their areas are equal.

Answer

their perimeters are equal.

Question 52

How many pairs of congruent angles in 2 triangles are needed to prove the 2 triangles are similar?

Accepted Answer

2 or 3

Answer

1

Answer

0

Answer

only 3

Question 53

Similarity Ratio: _

Accepted Answer

2/3

Answer

1/2

Answer

2

Answer

3

Question 54

Which of the statements is true about the graphed triangles?

Accepted Answer

They are similar, because the image can be obtained by dilating about the origin with a scale factor of 1/2.

Answer

They are similar, because the image can be obtained by dilating about the origin with a scale factor of 2.

Answer

They are not similar, because the image can be obtained by dilating about the origin with a scale factor of 2.

Answer

They are not similar, because the image can be obtained by dilating about the origin with a scale factor of 1/2.

Question 55

What scale factor was used to produce the image?

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 56

What scale factor was used to produce the image?

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

1

Question 57

TRUE or FALSE.
When a shape is dilated, angles within the shape change.

Accepted Answer

False

Answer

True

Question 58

TRUE or FALSE.
Rotation, translations, and dilations preserve congruence.

Accepted Answer

False

Answer

True

Question 59

TRUE or FALSE.
When a shape is dilated, parallel lines remain parallel.

Accepted Answer

True

Answer

False

Question 60

TRUE or FALSE.
When a shape is dilated, orientation is preserved.

Accepted Answer

True

Answer

False

Question 61

All corresponding sides are congruent in similar figures.

Accepted Answer

False

Answer

True

Question 62

Question 62.

Accepted Answer

Angle-Angle Similarity Theorem

Answer

Angle Bisector Theorem

Answer

Alternate Interior Angle Theorem

Answer

Triangle Sum Theorem

Question 63

A super-heroine slides down a 25-yard-long wire from the top of a 20-yard-tall building into a window 2 yards below the top of a 12-yard-tall building. Her photo is taken by a photographer when she is at point A. At that moment, how far is she from the window?

Accepted Answer

5 yds

Answer

4 yds

Answer

6 yds

Answer

20 yds

Question 64

Which is NOT true about similar triangles.

Accepted Answer

The triangles must have at least one side that is the same length.

Answer

The angles in the triangles are congruent to each other.

Answer

The sides are proportional to each other.

Answer

The angles in each triangle add up to 180^o.

Triangle Similarity Theorem and Review

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