Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.What is the final transformation in the composition of transformations that maps pre-image GHJK to image G"H"J"K"?a translation to the righta reflection across line ma 90° rotation about point Ga 180° rotation about point Ghelppp timed !!!

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.