Question

A dilation maps (4, 6) to (2, 3). Under the same dilation, (-1, 3) would be mapped to _____.

Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

(-1,3) would be mapped to (-2,1.5)

Answer 2

A dilation maps (4;6) to (2;3). Under the same dilation, (-1;3) would be mapped to (-0.5;1.5).

Explanation:

From the example dilation case we notice in the mapped point a dilation factor of 0.5:

x: 4*0.5=2

y: 6*0.5=3

Appliyng the same dilation factor to the point (-1;3) we get:

x: -1*0.5=-0.5

y: 3*0.5=1.5