Answer is reflection across line. When transformation maps X"Y"Z" .Then first transformation for this composition is , and the second transformation is 90° rotation about point X'.
When you transform a point across a line y=x then x-coordinate and y-coordinate changes.
Similarly when you reflect a point across the line y=-x then signs are changed and both coordinate change places.
It is the first transformation across the line.
D. a reflection across line m
Reflection across the x-axis.
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.
the answer is a reflection across the line m