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Geometry 8.3 Practice Quizizz - Triangle Similarity

Total questions: 23

Worksheet time: 4hrs 44mins

Name
Class
Date
1.

Are the triangles similar? If so, what is the ratio of the sides?

a)

Not similar

b)

Yes, by SSS~. The ratio is 12\frac{1}{2}

c)

Yes, by SSS~. The ratio is 14\frac{1}{4}

d)

Yes, by SSS~. The ratio is 38\frac{3}{8}

2.

Are the triangles similar? If so, what is the ratio of the sides?

a)

Not similar

b)

Yes, by SSS~. The ratio is 14\frac{1}{4}

c)

Yes, by SSS~. The ratio is 514\frac{5}{14}

d)

Yes, by SSS~. The ratio is 715\frac{7}{15}

3.

If two figures are similar their corresponding angles are______.

a)
proportional
b)
congruent
c)
supplementary
d)
complementary
4.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
5.
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.
6.
The triangles are similar by...
a)

SAS~

b)

AA~

c)

ASA~

d)

SSS~

7.

<G is congruent to < (a)   by the reflexive property of congruence.

8.

Give the reason for similarity

a)

AA~

b)

SAS~

c)

SSS~

d)

Not similar~

9.

What is the Reasons for #2 and #3?

*Statement 3 should actually say Triangle ACE is similar to Triangle BCD.

a)

#2 - Corresponding Angles Thm.

#3 - AA ~

b)

#2 - Reflexive POC

#3 - AA ~

c)

#2 - Reflexive POC

#3 - SAS ~

d)

#2 - Corresponding Angles Thm

#3 - SAS ~

10.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar.
11.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
12.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
13.

The figures are similar. What is the ratio of their perimeters?

a)

18/24

b)

3/4

c)

1/2

d)

36/24

14.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
15.

Label each similar or not similar. Place the a, b, or c under similar or not similar.

16.

What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:5?

a)

5:3

b)

9:25

c)

25:9

d)

3:5

17.

In the diagram, GHJK ~ LMNP. Find the area of LMNP.

18.

Quadrilateral 𝐴𝐶𝐷𝐺 is similar to quadrilateral 𝑄𝑌𝑊𝑇. Find the value of 𝑥.

19.

The following figures are similar. Use proportions to find the value of x.

ONLY FIND x!!

20.

The following figures are similar. Use proportions to find the value of y.

ONLY FIND y!!

21.
a)
15
b)
13
c)
11
d)
17
22.
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?
a)
144 feet
b)
72 feet
c)
36 feet
23.
A tree is 72 feet tall and has a shadow that is 12 feet long.  A nearby tree has a shadow of 5 feet.  How tall is the tree? 
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.