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 right
a reflection across line m
a 90° rotation about point g
a 180° rotation about point g

timed !

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

                                             =

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 =

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

The final transformation in the composition of transformations is 90° rotation about point G.

Therefore the correct option is C.

hreryryrranswer:

step-by-step explanation:

b, i believe, but not sure.