A dilation has a center (0, 0). Find the image of the point for the scale factor given. A (1, -5) Scale Factor: 2 Note: Type your answer as a coordinate pair. (x, y)

Answer 1

Hi Aniyah

These problems are very quick when the center of dilation is (0,0). It's just two quick multiplication problems and you're done.

When a dilation with a scale k has center (0,0), then the image of (x,y) will be (kx, ky)

Your scale is 2 and your point is (1,-5), so your new coordinates will be 2×1 and 2×(-5)

A'=(2×1, 2×(-5))

A'(2,-10)

I'll bet you can figure out the other two on your own ;)