Suppose line k has equation x = 3. Compare the areas of ABCD and
A′′B′′C′′D′′=(T⟨1,2⟩∘Rk)(ABCD).
Justify your answer.

In this question we are given a composition of rigid motions. Thus whatever the area moves toward or across, is it is a rigid motion the area and angles will be preserved thus, the area of is equal to the area of A''B''C''D''.

Step-by-step explanation:

As we are given some rigid motions, first we reflect across , which is said to be a rigid motion so, the length and angles of

Thus,

a negative exponent is translated as follows:

so, we have