Dilations Exploration

When the image A'B'C'D' is larger than the original figure ABCD (the preimage), the dilation is called an enlargement. What is the scale factor for enlargements?

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A
greater than 1
B
1
C
between 0 and 1
D
a negative number

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When the image A'B'C'D' is smaller than the original figure ABCD (the preimage), the dilation is called a reduction. What is the scale factor for reductions?

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A
greater than 1
B
1
C
between 0 and 1
D
a negative number

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What is the center of dilation on this graph?

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Set the scale factor to 2. The ordered pairs of the preimage are A (2, 2), B (6, 2), C (5, 4), and D (3, 4). What are the ordered pairs of the image A'B'C'D'? How are those ordered pairs related to the scale factor?

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Now set the scale factor to 0.5. How are the coordinates of the ordered pairs of the image A'B'C'D' related to the original points this time?

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Note: Using the scale factor in this way to find the coordinates of image points works when the center of dilation is the origin (0, 0).

Is a dilation an isometry?

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A
Yes, because the image and preimage are congruent.
B
No, because the image and preimage are not congruent.

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With dilations, are the image and preimage similar figures?

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A
Yes, because the corresponding angles are congruent and the corresponding sides are proportional.
B
No, because the corresponding angles are not congruent and the corresponding sides are not proportional.

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Dilations Exploration

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