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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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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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What is the center of dilation on this graph?

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?

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?

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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With dilations, are the image and preimage similar figures?

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