High School

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Square WXYZ was dilated by a scale factor of 3 to create square W’X’Y’Z’. Which point is the center of dilation?

a) Point W
b) Point X
c) Point Y
d) Point Z

Answer :

Final answer:

In this case, the center of dilation is:Point X. The correct answer is option b.

Explanation:

In a dilation, the center of dilation is the point about which the dilation occurs. Each point on the original figure moves away from or towards the center of dilation by a certain scale factor.

In this case, square WXYZ was dilated by a scale factor of 3 to create square W’X’Y’Z’. The center of dilation is the point about which this dilation took place. Each corresponding point on the original square was multiplied by the scale factor to get its image on the new square.

Therefore, the center of dilation is the fixed point that all other points are scaled from.

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