Question

Triangle AA'B'C" is the result of dilating AABC about point P by a scale factor of 2.

Answer 1

1. False
2. False

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Explanation for problem 1

The center of dilation is point P, which is not located on line AB. This means line A'B' will move further away from P after applying the scale factor. It means segments AB and A'B' are not on the same line.

Side note: Side BC is through line P, so segment B'C' shares the same line with BC.

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Explanation for problem 2

The scale factor enlarges the side lengths. In this case, the scale factor 2 will double each side. This in turn doubles the perimeter.

perimeter of A'B'C' = 2*(perimeter of ABC)

new perimeter = 2*(old perimeter)

Therefore, the perimeters are not the same.