Name: 
 

Math 9 LG 12 Practice Quiz #4



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What is the measure of angles K and S?

mc001-1.jpg
a.
30°
c.
80°
b.
60°
d.
90°
 

 2. 

Triangle B is drawn from Triangle A using a scale of 2:1. If the hypotenuse of Triangle A is 35 mm, what is the length of the hypotenuse of Triangle B?

mc002-1.jpg
a.
17.5 mm
c.
70 mm
b.
35 mm
d.
90 mm
 

 3. 

DABC is a scalene triangle, with mc003-1.jpgABC equal to 86°. A similar triangle, DDEF, is made using a scale factor of 3. In DDEF, mc003-2.jpgDEF is
a.
45°
c.
86°
b.
49°
d.
129°
 

 4. 

An artist developed a scale diagram of the following layout for a stage. On his scale diagram, 1 cm represents 2 m of actual distance. How far is it from H to J on the stage?

mc004-1.jpg
a.
5 m
c.
15 m
b.
10 m
d.
20 m
 

 5. 

How many similar triangles could be formed if you joined all the opposite vertices so the lines pass through the centre of the figure?

mc005-1.jpg
a.
4
c.
8
b.
6
d.
10
 

 6. 

How many similar triangles are there in the regular polygone shown?

mc006-1.jpg
a.
0
c.
4
b.
2
d.
8
 

 7. 

If you drew a similar polygon to the one shown below, how many sides would the polygon have?
mc007-1.jpg
a.
6 sides
c.
18 sides
b.
12 sides
d.
24 sides
 

 8. 

This polygon has sides that are 1.5 cm each. If a similar polygon was created using a scale factor of 3, determine the side length of the similar polygon.

mc008-1.jpg
a.
0.5 cm
c.
3.5 cm
b.
1.5 cm
d.
4.5 cm
 

 9. 

Hexagon A is a reduction of hexagon B. What is the approximate scale factor used to create hexagon A.

mc009-1.jpg
a.
25%
c.
75%
b.
50%
d.
100%
 

 10. 

A scale diagram of the polygon below was created using a scale factor of 4. The interior angles of the new polygon would be

mc010-1.jpg
a.
mc010-2.jpg times the size of the angles of the original polygon
b.
the same size as the angles of the original polygon
c.
2 times the size of the original polygon
d.
4 times the size of the original polygon
 

Short Answer
 

 11. 

Draw a triangle similar to sa011-1.jpgKLM using a scale factor of 0.25. Label the length of each side.

sa011-2.jpg
 

 12. 

You have been asked to design new coasters for use in the community hall. The coasters are to be hexagonal in shape. They need to be 8 cm across between any two opposite sides. Create a scale drawing of your design, using a scale factor of sa012-1.jpg.
 

Problem
 

 13. 

A diagram of a house on a street is shown below. Determine the distance between Point D and Point C.

pr013-1.jpg
 

 14. 

Create a scale drawing of the figure below using a scale factor of 0.33.

pr014-1.jpg
 



 
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