Question

Which sequence of transformations carries ABCD onto HGFE?

A) Reflect over y-axis, translate 5 units right, and reflect over x-axis.
B) Rotate 90 degrees counterclockwise, translate 5 units down, and rotate 180 degrees counterclockwise.
C) Rotate 180 degrees counterclockwise, translate 5 units right, and rotate 90 degrees clockwise.
D) Reflect over x-axis, translate 5 units left, and reflect over y-axis.

Answer 1

The correct sequence of transformations is Option D) Reflect over x-axis, translate 5 units left, and reflect over y-axis.

Step-by-step explanation:

The correct sequence of transformations that carries ABCD onto HGFE is Option D) Reflect over x-axis, translate 5 units left, and reflect over y-axis.

Reflecting over the x-axis will result in the vertices A, B, C, and D being vertically flipped. Then, translating 5 units to the left will move the vertices horizontally to the left side of the coordinate system. Finally, reflecting over the y-axis will result in the vertices being horizontally flipped. Together, these transformations will carry ABCD onto HGFE.