Question

A composition of transformations maps ΔXYZ to ΔX"Y"Z". The first transformation for this composition is , and the second transformation is a 90° rotation about point X'.

Answer 1

D. a reflection across line m

Explanation:

Answer 2

Reflection across the x-axis.

Explanation:

There could be some possible transformations since there is not much information to restrict them. So the first step would be reflecting it across the origin. And the second one is rotating about the point X'.

1) Placing ΔXYZ X(1,1) Y(2,3) Z(3,1)

2) Reflecting across the x-axis ΔX'Y'Z': X'(1,-1) Y'(2,-3) Z'(3,-1)

3) Rotating 90º clockwise about X' that will result on ΔX''Y''Z'': X''(1,-1) Y''(-1,-2) Z''(1,-3)

Check the triangles below.