Question

A line segment has endpoints at (-1,4) and (4, 1). Which reflection will produce an image with endpoints at (-4, 1) and (-1, -4)?

Answer 1

Reflection in `x+y=0`.

Explanation:

graph{((x+1)^2+(y-4)^2-0.02)((x-4)^2+(y-1)^2-0.02)((x+4)^2+(y-1)^2-0.02)((x+1)^2+(y+4)^2-0.02)(x+y)=0 [-10, 10, -5, 5]}