Question

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



helppp timed !!!

Answer 1

Answer:

The answer is c i just took the test

Step-by-step explanation:

Answer 2

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

                                             = $R(G,90^{\circ})$

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 = $r_m(x,y)$

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

$r_m(x,y) \circ R(G,90^{\circ})$

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

Therefore the correct option is C.