Find the coordinates of point  C′  by dilating  ΔABC  by a scale factor of 2 with a center of dilation at the origin. Enter your response as an ordered pair.

1 answer

To dilate a point by a scale factor of 2 with the center of dilation at the origin, you multiply the coordinates of the point by the scale factor.

If the original coordinates of point \( C \) are \( (x, y) \), the coordinates of point \( C' \) after dilation will be:

\[ C' = (2x, 2y) \]

Please provide the coordinates of point \( C \) (or any other points of \( \Delta ABC \) if needed) so that I can compute the specific coordinates for \( C' \).