Similar Triangles

Geometry

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Multiple Choice

Are the triangles similar?

• Yes

• No

Multiple Choice

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Multiple Choice

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

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

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

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

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

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

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

The triangles are similar by...

• SAS
• AA
• ASA
• SSS

Multiple Choice

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar.

Multiple Choice

State the postulate that proves these triangles are similar.

• SSS
• AA
• SAS
• Not similar

Could be any kind SAS SSS or AA

Multiple Choice

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

Multiple Choice

How do these triangles appear to be similar?

(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

Multiple Choice

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

Multiple Choice

State the postulate that proves these triangles are similar.

• SSS
• AA
• SAS
• Not similar

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

The 2 shapes are similar. Find side length X.

• 16

• 18

• 2.4

• 15

Multiple Choice

The 2 shapes are similar. Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Multiple Choice

The 2 shapes are similar. Find missing side

• 5

• 7

• 9

• 11

Multiple Choice

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

• x = 9
• x = 28
• x = 7
• x = 63

Multiple Choice

The 2 shapes are similar. Find x.

• 2

• 7

• 0.5

• 12

Multiple Choice

The 2 shapes are similar. Find x.

• 2

• 4

• 10

• 3

Multiple Choice

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

• x = 10
• x = 4
• x = 2
• x = 5

Multiple Choice

Find the missing side length.

• 32
• 35
• 20
• 16

Multiple Choice

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

• Congruent
• Vertical
• Similar
• Complementary 

Multiple Choice

Sides in similar figures must be proportional.  

• True
• False 

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• SAS∼
• SSS∼
• AA∼
• Side Splitter

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

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

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

Multiple Choice

Find missing side

• 5
• 7
• 9
• 11

Multiple Choice

If two figures are similar their angles are______.

• proportional
• congruent
• supplementary
• complementary

Multiple Choice

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

• equal
• congruent
• proportional
• none of these

Multiple Choice

What is the measure of x?

• 12
• 15
• 6
• 9

Multiple Choice

The triangles are similar, solve for the question mark.

• 8
• 12.5
• 18
• 24

Multiple Choice

Complete each proportion.
CB / DM  =  AC / ?

• BM
• MA
• BC
• AD

Multiple Choice

Complete each proportion.
AB / BM  =  ? / CD

• BC
• AC
• MD
• MC

Multiple Choice

Determine if the triangles are similar. Justify.

• Yes, by SSS.
• Yes, by SAS. Scale Factor is 1:2.
• Yes, by SAS. Scale Factor is 3:1.
• No, not similar.

Multiple Choice

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ
• ΔNOM ∼ ΔPQL
• ΔLMN ∼ ΔPQO
• ΔMLN ∼ ΔPQO

Multiple Choice

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?

• 10
• 12
• 15
• 18

Multiple Choice

A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?  

• 4.3
• 8.6
• 6.4

Multiple Choice

Find the value of x.

• 6.92
• 18.67
• 2.625
• 13.71

Multiple Choice

Solve for X

• 7.5
• 4.8
• 13.33
• 5

Multiple Choice

Solve for x.

• 3
• 6
• 8
• 9

Multiple Choice

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

• A) SP
• B) ST
• C) PR
• D) PT

Multiple Choice

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Similar Triangles

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Similar Triangles: watch the video to refresh your memory on the topic

https://www.youtube.com/watch?v=hZpDqDypj-Q

Multiple Choice

Find side length X.

• 30

• 25

• 15

• 40

Multiple Choice

Find side length X.

• 16
• 18
• 2.4
• 15

Multiple Choice

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Multiple Choice

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

• equal

• congruent

• proportional

• none of these

Multiple Choice

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

A few other kinds of problems

https://www.youtube.com/watch?v=YMSkiNuwmMU

Multiple Choice

• 15

• 13

• 11

• 17

Multiple Choice

The triangles are similar, solve for the question mark.

• 8
• 12.5
• 18
• 24

Multiple Choice

Complete each proportion.

CB / DM = AC / ?

• BM

• MA

• BC

• AD

Multiple Choice

• 7

• 12

• 6

• 4