Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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In the two triangles shown, Ð A and Ð D are  a. | complimentary angles | c. | exterior angles | b. | corresponding angles | d. | inscribed
angles |
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2.
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a. | similar triangles | c. | equal triangles | b. | proportional triangles | d. | corresponding
triangles |
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3.
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A farmer sketched the following layout of a field. He wants to develop a scale
drawing of the field in which 1 cm on the diagram represents 20 m of actual distance. The pipeline
runs across the diagonal of the field. Approximately how long will the line that represents the
pipeline be in the scale diagram? 
a. | 4.5 cm | c. | 9.0 cm | b. | 6.4 cm | d. | 12.0 cm |
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4.
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The two triangles shown are  a. | complimentary and equal triangles | c. | equal triangles | b. | equilateral
triangles | d. | similar and
equilateral triangles |
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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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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.  a. | 0.5 cm | c. | 3.5 cm | b. | 1.5 cm | d. | 4.5 cm |
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9.
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Compare hexagon A to hexagon B. Hexagon A has  a. | angles that are smaller than the angles in hexagon B | b. | angles that are
proportional to the angles in hexagon B | c. | angles that are larger than the angles in
hexagon B | d. | angles that are equal to the angles in hexagon B |
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10.
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The polygon on the right is similar to the polygon on the left. The angles in
the polygon on the right are  a. | equal to the angles in the polygon on the left | b. | larger than the
angles in the polygon on the left | c. | proportional to the angles in the polygon on
the left | d. | smaller than the angles in the polygon on the left |
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Short Answer
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11.
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Two triangles are pictured below. Determine if the triangles are similar.
Explain your answer. 
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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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An observer stands 18.2 m from the door of a house, and 2.6 m from the street.
The observer is 1.3 m tall. Calculate the height of the house. 
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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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