Practice Page
Directions: Read carefully!

1.
Given the diagram at the right as labeled. Find x.

Choose:
13
13.5
16.7
17
Sprac1

 

 

2.
Given the diagram at the right as labeled. Find x.

Choose:
3.2
5
7.5
8
Sprac2

 

 

3.
Which of the following triangles are always similar?

Choose:
isosceles triangles
right triangles
equilateral triangles
scalene triangles
spracguy2
 

 

 

4.
Given the diagram at the right as labeled. Find x.

Choose:
19
21
28
30
Sprac4

 

 

5.
The sides of a triangle are 4, 8 and 10. Find the length of the shortest side of a similar triangle whose longest side is 15.

Choose:
6
8
10
12
spracguy1

 

 

6.
Given the diagram at the right as labeled. Find x.

Choose:
1.5
2
2.5
4
Sprac5

 

 

7.
ΔRST was dilated and then reflected over line m to create image ΔABC.
a) Which angle in the image is 63ยบ?
Choose:
∠C
∠S
∠B
∠R
sprac6
  b) What is known about the scale factor of the dilation?
Choose:
The scale factor was greater than one.
The scale factor was negative.
The scale factor was between 0 and 1.
The scale factor was between 1 and 2.

 

 

8.
Given the diagram at the right as labeled. Find x.

Choose:
9
12
15
36
Sprac8

 

 

9.
A triangle has sides with lengths 6, 8 and 11 inches. A second triangle has sides with lengths 18, 16, and 22 inches. Are these triangles similar?

Choose:
Yes
No
Cannot be determined.
spracgirl1

 

 

10.
Given the diagram at the right.
a) Is ΔABC∼ΔDEC ?
Choose:
Yes
No

b) Find AB.
Choose:
10
 12
15
 26
Sprac9
 
c) Which proportion is true in relation to these triangles?
 Choose:
sprac9a
 sprac9b
sprac9c
 sprac9d

 

 

11.
Two poles are leaned against a wall such that they make the same angle with the ground. The 18' pole reaches 12' up the wall. How much further up the wall does the 22' pole reach, to the nearest tenth of a foot?

Choose:
2.7 feet
4.3 feet
6.3 feet
14.7 feet
Sprac10

 

 

12.
Given the labeled diagram shown at the right with sprac12T.

Find x.

Choose:
4.2
6.8
8.6
10.4
Sprac11

 

 

13.
At a certain time of day, the shadow of a 6' teenager is 8' long. The shadow of a nearby tree at this same time is 20' long. How tall is the tree?

Choose:
26'
24'
15'
12'
Sprac12

 

 

14.
Given the labeled diagram at the right. What is the ratio of similitude of ΔABC to ΔEDC?

Choose:
3over4
2over3
4over5
3over5
Sprac13

 

 

15.
Given the labeled diagrams at the right. Find x.

Choose:
twelve+
fourteen+
fifteen+
16
Sprac13

 

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