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Question 21

Suppose a pentagon graphed on a coordinate plane undergoes a dilation. Which of these is a true statement?

A. The resulting pentagon will be similar to the original pentagon only if the center of the dilation is the origin.

B. The resulting pentagon will be similar to the original pentagon only if the center of the dilation is a vertex of the original pentagon.

C. The resulting pentagon will be similar to the original pentagon regardless of the center of the dilation.

D. The resulting pentagon will not be similar to the original pentagon regardless of the center of the dilation.

Answer :

Final answer:

The resulting pentagon will be similar to the original pentagon only if the center of the dilation is the origin.


Explanation:

When a pentagon undergoes a dilation on a coordinate plane, whether it remains similar to the original pentagon or not depends on the center of the dilation. If the center of the dilation is the origin, the resulting pentagon will be similar to the original pentagon.


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