Question

Segment AB, with endpoints A(-6,9) and B(12, -3), is dilated by a scale factor of 2/3 centered at the origin.

What are the coordinates of A'?

Enter your answer as an ordered pair, using parentheses and a comma, like this: (42,53) ​

Answer 1

The coordinates of A' after the dilation is (-4,6)

How to determine the coordinates of A'?

The given parameters are:

A = (-6,9)

B = (12, -3)

Scale factor, k = 2/3

The coordinates of A' is then calculated as:

A' = A * k

This gives

A' = (-6,9) * 2/3

Evaluate the product

A' = (-4,6)

Hence, the coordinates of A' after the dilation is (-4,6)

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