Question

The square shown is dilated by a scale factor of 2. The center of dilation is point C. Which shows the correct image, A’ ?

Point C is inside of square A.
Point C is inside of square A. Square A prime is double the size of square A prime.
Point C is inside of square A. Square A prime is half the size of square A prime.
Point C is inside of square A. Square A prime is half the size of square A prime.
Point C is inside of square A. Square A prime is half the size of square A prime.

Answer 1

It looks like your descriptions contain some repetition or errors regarding the size of the dilated image, A’.

When a square (or any shape) is dilated by a scale factor of 2, this means that every point of the original shape is moved away from the center of dilation (point C) such that the distance from point C to each point on the original square is doubled. Therefore, the image, A', will be larger, specifically double the size of the original square A.

Given that point C is inside square A, the resulting square A' will also be centered at point C, but it will be larger than square A.

Thus, the correct description would be:
- Point C is inside of square A. Square A' is double the size of square A.

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