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Use the definition of dilation to explain why HH’’ is a dilation of HH’

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Answer:

Dilation is a transformation that changes the size of a figure1. It requires a center point and a scale factor

Explanation:

To explain why HH'' is a dilation of HH', we can use the definition of dilation. Let H be the center of dilation, and let the scale factor be k. Then, HH'' is a dilation of HH' if and only if:H is the center of dilation.The absolute value of the scale factor k is equal to the ratio of the lengths of HH'' and HH'.Since HH'' is longer than HH', we know that k is greater than 1, which means that HH'' is an enlargement of HH'12. Therefore, HH'' is a dilation of HH' with center H and scale factor k.

User Johira Afzali
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