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Similar Triangles

Total questions: 38

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

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

(a)  

Choose from the below words

SAS

AA

SSS

not similar
2.

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

a)

AA

b)

SSS

c)

SAS

d)

no similar

3.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

4.

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

a)

AA

b)

SAS

c)

SSS

d)

not similar

5.

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

a)

AA

b)

SAS

c)

SSS

d)

not similar

6.

Find the scale factor.

a)

1:3

b)

3:1

7.
a)

7

b)

12

c)

6

d)

4

8.

Find the value of X.

9.
a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

10.
Use the information in the diagram to determine the height of the tree.
11.

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

(a)  

Choose from the below words

AA

SAS

SSS

Not Similar
12.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)

Not Similar

13.
Are the triangles similar?
a)
Yes
b)
No
14.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___.

(a)  

15.
Find missing side
a)
5
b)
7
c)
9
d)
11
16.

If two figures are similar their angles are​ ___. (a)  

Choose from the below words
proportional
congruent
supplementary
complementary
17.
If two figures are similar, the corresponding sides are ______________. (a)  
Choose from the below words
equal
congruent
proportional
none of these
18.

The triangles are similar, solve for the question mark.

19.

Complete each proportion.
CB / DM  =  AC / ?

(a)  

20.

Determine if the triangles are similar. Justify.

(a)  

21.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
22.
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?
23.
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?  
24.
Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?
a)
A) SP
b)
B) ST
c)
C) PR
d)
D) PT
25.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
26.
Are the triangles similar?
a)
Yes
b)
No
27.
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?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
28.

What similarity theorem would you use to prove these triangles are similar?

(a)  

29.
Solve for f.
30.
Find side length X.
31.
Find side length X.
32.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
33.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
34.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
35.

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

a)

proportional, similar

b)

congruent, similar

c)

similar, congruent

d)

proportional, congruent

36.

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

a)

similar, similar

b)

congruent, similar

c)

proportional, congruent

d)

proportional, similar

37.

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

a)

proportional, vertical

b)

congruent, included

c)

proportional, included

d)

congruent, proportional

38.

Which is not a similar triangle theorem?

a)

AA∼

b)

SAS∼

c)

ASA∼

d)

SSS∼

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