Answer:
Option C.
Step-by-step explanation:
It is given that Trapezoid GHJK is rotated about G 90 degrees counterclockwise to form trapezoid G'H'J'K'.
First rule of transformation = Rotation 90 degrees counterclockwise about G
= [tex]R(G,90^{\circ})[/tex]
Trapezoid G'H'J'K' is reflected across the line of reflection m to form trapezoid G''H''J''K''.
Second rule of transformation = Reflection across m = [tex]r_m(x,y)[/tex]
Combination of transformation is known composition of transformation transformation. We apply the transformation from left to right.
The figure GHJK is Rotated 90 degrees counterclockwise about G and then reflected across the line m. So, the composition of transformation is
[tex]r_m(x,y) \circ R(G,90^{\circ})[/tex]
The final transformation in the composition of transformations is 90° rotation about point G.
Therefore the correct option is C.
