Dilations, Scale Factor, & Similar Figures

By Meredith Hanley

16 Questions

Work through this assignment at your own pace. Remember, your teacher can see your progress and responses. He or she might also give you feedback as you complete tasks. Your responses will be graded. You should use your notes to help you!

Similar Figures

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1.

Similar figures are the same SHAPE, but not the same SIZE. Figures are similar if...

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2.

We use ________________ to determine whether or not figures are similar.

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3.

Are the triangles below similar? Explain how you determined your answer.

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4.

Use color to highlight/mark the corresponding sides and angles in the picture below.

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5.

Use color to highlight/mark the corresponding sides and angles in the picture below.

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6.

Solve for x.

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7.

The triangles below are "nested" figures. Draw them seperately and label the side lengths of both triangles using the draw tool.

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8.

In the image above, what is the measure of side DE?

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9.

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

Dilations & Scale Factor

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10.

The original picture, prior to a transformation is called the image and each point is marked with a '.

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11.

A dilation with a scale factor greater than 1 is called an enlargement and a dilaton with a scale factor less than 1 is called a reduction.

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12.

What is the formula for scale factor (k)? Draw in the space below.

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13.

What is the scale factor for the dilation below?

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14.

What is the algebraic rule for the dilation below?

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15.

Using a copy machine, a drawing of a

tower that was 24 inches tall was reduced to a

tower that measured 8 inches high. What was

the scale factor used for the reduction?

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16.

A traingle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?