Question

Parallelogram WXYZ and parallelogram W" X" Y" Z" are congruent.

Which sequence of transformations could have been used to transform parallelogram WXYZ?
A.Parallelogram WXYZ was reflected across the y-axis and then translated 2 units right and 3 units down.
B.Parallelogram WXYZ was translated 2 units right and 3 units down and then reflected across the y-axis.
C.Parallelogram WXYZ was rotated 90° clockwise around the origin and then translated 1 unit left and 4 units down.
D.Parallelogram WXYZ was rotated 270° counterclockwise around the origin and then translated 5 units left.

Answer 1

All of the options use only reflection, rotation, and translation, so all of these could be the transformation in question.

Answer 2

Reflections, rotations, and translations all change the location, but not the size or shape of the parallelogram. Congruence describes the line lengths and angle sizes - all of which will be maintained. Thus, reflections, rotations, and translations will maintain congruence.

All of the options use only reflection, rotation, and translation, so all of these could be the transformation in question.