Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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How would you describe the two triangles below?  a. | complimentary triangles | c. | equal triangles | b. | equilateral
triangles | d. | similar
triangles |
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2.
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What is the measure of angles K and S? 
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3.
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Kendra wants to draw a scale diagram of the field shown in the sketch. She plans
to use a scale of 3 mm:1 m. How long should she draw line AB if she wants to represent a distance
of 84 m?  a. | 3 mm | c. | 252 mm | b. | 28 mm | d. | 300 mm |
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4.
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DABC is a
scalene triangle, with  ABC equal to 86°. A similar triangle, DDEF, is made using a scale factor of 3.
In DDEF,  DEF is
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5.
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How many similar triangles could be formed if you joined all the opposite
vertices so the lines pass through the centre of the figure? 
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6.
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How many similar triangles are there in the regular polygone
shown? 
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7.
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If you drew a similar polygon to the one shown below, how many sides would the
polygon have?  a. | 6 sides | c. | 18 sides | b. | 12 sides | d. | 24 sides |
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8.
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Hexagon A is a reduction of hexagon B. What is the approximate scale factor used
to create hexagon A. 
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9.
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A scale diagram of the polygon below was created using a scale factor of 4. The
interior angles of the new polygon would be 
a. |  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 |
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10.
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The scale factor of the polygon on the right is approximately  a. |  | c. | 2 | b. |  | d. | 4 |
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Short Answer
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11.
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You want to draw a triangle similar to the one shown. You are going to
use a scale factor of 2. What should the length of the sides of the new triangle be?
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12.
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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  .
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Problem
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13.
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A map of a nature reserve shows the location of three look-out points. On the
map, the distance between Point A and Point B is 4.5 cm and the distance between Point B and Point C
is 6.0 cm. Each centimetre on the map represents 15 km of actual distance. Calculate the actual
distance between Point A and Point C. 
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14.
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Describe how to create an accurate scale diagram of the polygon below using a
scale of 1:3. Then, create and label your diagram. 
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