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

Question

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 statement 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 is because both rotations and translations are types of rigid transformations that preserve the shape and size of the figure, meaning corresponding angles and sides remain equal. Therefore, options A and B are incorrect as they state that angles and sides become unequal. Option D is also not entirely correct in its focus on translations, although translations do maintain the equality of angles and sides, but the specific question asked for the sequence of congruence concerning rotations.