Question

In the figure shown, rectangle 1 is congruent to rectangle 2.

The vertical rectangle labeled 1 is changed to a horizontal rectangle labeled 2.

Which statement describes the sequence of the congruence of the two figures shown?

A.
A translation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

B.
A rotation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

C.
A rotation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

D.
A translation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

Answer 1

The correct answer is:

C. A rotation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

This statement reflects the properties of congruence in geometric transformations. When a rectangle is rotated, the new position will still have the same side lengths and angles as the original rectangle, meaning they are congruent.