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Unit 4 Similar Triangles Mixed Practice

Total questions: 74

Worksheet time: 2hrs 25mins

Name
Class
Date
1.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

2.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

3.

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

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

4.

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

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

5.

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

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

6.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
7.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar.

8.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
9.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

10.

How do these triangles appear to be similar?

(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

11.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
12.

Two objects that are the same shape but not the same size are ​ ​ (a)   .

Choose from the below words
Congruent
Vertical
Complementary 
similar
13.
Sides in similar figures must be proportional.  
a)
True
b)
False 
14.
True or False: congruent figures are the same shape, but a different size. 
a)
true
b)
false
15.

A scale factor of 1/2 (a)   a figure.

16.

The "image" is the shape before the dilation.

a)

True

b)

False

17.

The (a)   is the ratio of a length of the new figure to the corresponding length on the original figure.

18.

When the dilation has a scale factor greater than one, the dilation is an (a)   .

19.

When the scale factor of a dilation is less than one, the dilation is a (a)   .

20.

What is the scale factor from the small fry to the large fry?

(a)  

21.

If the triangle ABC is dilated using a scale factor of k=1/2, what will be the coordinates of A' after the transformation?

A' (__, __)

(a)  

22.

A(1,2) is a point on a triangle. If the triangle is dilated by a scale factor of k =4, what is the coordinate of A'?

A'(___, ___)

(a)  

23.

If two figures are similar, their angles are (a)  

Choose from the below words
proportional
congruent
supplementary
complementary
24.

If two figures are similar, the corresponding sides are

(a)  
Choose from the below words
equal
congruent
proportional
none of these
25.

The triangles are similar, solve for the question mark.

(a)  

26.
Is DE parallel to BC?
a)
Yes
b)
No
27.
Is DE 1/2 the length of BC?
a)
Yes
b)
No
28.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
29.

Do you need to find the value of x to find the length of segment AB?

a)

No

b)

Yes

30.

What is the length of AB if E is the midpoint of AC and D is the midpoint of BC?

(a)  

31.
What is the value of x?
a)
10
b)
No Solution
c)
5
d)
2
32.

Which of the following has the correct set up to find x if the image is showing the midsegment of a triangle?

a)

x+4=4x-2

b)

2(4x-2)=x+4

c)

4x-2=2(x+4)

d)

There isn't enough information to find the value of x

33.
What is the length of the Midsegment?
a)
6
b)
9
c)
12
d)
18
34.

What is the value of y, if the image is showing a triangle's midsegment?

a)
3
b)
-3
c)
No Solution
d)
5
35.

Which has the correct set up to find y, if the image is showing a triangle's midsegment?

a)

4y=6(y-1)

b)

2(4y)=6(y-1)

c)

There isn't enough information to find y

d)

4y=2(6(y-1))

36.

The triangles are ​ (a)   .

Choose from the below words
similar
not similar
37.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
38.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
39.
Find the missing side length.
a)
9
b)
6
c)
8
d)
7
40.

What is the perimeter of the smaller triangle?

(a)  

41.
Solve for X.
a)
36
b)
27
c)
45
d)
56
42.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
43.

What is the scale factor if the image is showing an enlargement?

k= (a)  

44.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
45.

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

(a)  

46.

k= (a)  

47.

DEFG ~ PQRS. Solve for x.

a)

12

b)

18

c)

24

d)

6

48.

Find the height of the tree

(a)  

49.

Find side length X.

(a)  

50.

Find missing side

(a)  

51.
a)
5
b)
10
c)
12
d)
15
52.

h=

(a)  

53.
a)
8
b)
9.5
c)
10
d)
10.5
54.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
55.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.

(a)  

56.
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?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
57.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
58.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
59.

Solve for X.

(a)  

60.
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?
a)
10
b)
12
c)
15
d)
18
61.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
62.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

63.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
64.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
65.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
66.
Determine whether the triangles are similar.
a)
SSS~
b)
AA~
c)
SAS~
d)
not similar
67.

For the pair of similar figures, find the length of each side marked with a variable.

(a)  

68.

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)  

69.

h=

(a)  

70.
Triangle CAT, with vertices C(-2, 4), A(0, -5), and T(-3, -8) was dilated to form triangle C'A'T' with vertices C'(-1.6, 3.2), A'(0, -4), and T'(-2.4, -6.4). Which scale factor was used?
a)
0.4
b)
4/5
c)
5/4
d)
0.3
71.

Identify the corresponding parts of the triangles.

a)

Corresponds to BD

b)

Corresponds to AD

c)

Corresponds to BE

d)

Corresponds to EC

e)

Corresponds to DE

f)

Corresponds to AC

1
2
3
4
5
6
1)
2)
3)
4)
5)
6)
72.

Choose the correct scale factor:

(a)  

73.

Dilate the points using a scale factor of 1/3.

(-6, 6)

(0, 0)

(-9, -6)

74.

Match the following

a)

1.

Not Similar

b)

2.

Similar by AA

c)

3.

Similar by SAS

d)

4.

Similar by SSS

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