Question

A dilation has center (0,0). Find the image of the point A(-5,5) for the scale factor 1.2.

Answer 1

After applying a dilation with scale factor 1.2 to point A(-5,5) with the center of dilation at the origin, the image of point A is A'(-6,6).

Step-by-step explanation:

The student asks to find the image of point A(-5,5) after a dilation with a scale factor of 1.2 and the center of dilation at the origin (0,0). To find the image coordinates, we will multiply the original coordinates of point A by the scale factor 1.2.

Step 1: Multiply the x-coordinate

-5 × 1.2 = -6

Step 2: Multiply the y-coordinate

5 × 1.2 = 6

The image of point A after the dilation would be A'(-6,6).

Answer 2

Step-by-step explanation:

Since the dilation is centered at the origin, you can multiply each of the coordinates by the scale factor. This means the image is A'(-6, -6)