Find the coordinates of point A' after dilating triangle ABC by a scale factor of 2 with a center of dilation at the origin. Point A=(3,−4) (1 point) Responses (3,4) (3,4) (-3,4) (-3,4) (1.5,-2) (1.5,-2) (6,−8)

Answer 1

To find the coordinates of point A' after dilating point A=(3,−4) by a scale factor of 2 with the center of dilation at the origin, you multiply the coordinates of point A by the scale factor.

The coordinates of point A' after the dilation will be:

\[ A' = (x \cdot \text{scale factor}, y \cdot \text{scale factor}) \] \[ A' = (3 \cdot 2, -4 \cdot 2) \] \[ A' = (6, -8) \]

So, the coordinates of point A' are (6, -8).