Question

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?

Answer 1

reflection on the -x axis

Answer 2

Reflection on x - axis.

Explanation:

A line segment has two endpoints at A ( -4, -6 ) and B ( -6, 4 ).

Here point A lies in third quadrant and B lies in second quadrant.

Now we have to find the kind of reflection was done so that new points became A' (4, -6) and B' (6, 4)

a' is lying in fourth and B' is in first quadrant.

Therefore, segment AB which is parallel to y axis when reflected on x-axis, became A' B'.

So reflection about y-axis is the answer.