Question

A figure is rotated 90° clockwise and then reflected across a vertical line. What can be said about the resulting figure?

Answer 1

It has the same dimensions as the original figure since rotations and transformations do not affect the size or shape of a figure. They are also known a rigid transformations.

Answer 2

It has the same dimensions as the original figure.

Explanation:

The choices are

• It has the same dimensions as the original figure.
• It is wider than the original figure.
• It is taller than the original figure.
• You cannot tell because you do not know the size of the original figure.

Let's say that the object is towards North at the beginning. If rotate it 90° clockwise, the object will be pointing East. Then, by applying a reflection across a vertical line, the object will be towards West.

All transformations were only translations, specifically, there were rigid transformations, that is, the shape or size didn't increased. In other words, the resulting figure has the same dimensions as the original one.

Therefore, the answer is

• It has the same dimensions as the original figure.