Question

Multiple Choice Question

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement?

A. 

The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

B. 

The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

C. 

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

D. 

The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Answer 1

The correct answer is:

C. The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Explanation: Congruence means that the shape and size remain the same after transformations. Both rotation and translation are rigid transformations, meaning they preserve distances and angles. Therefore, the rectangle will remain congruent to the original rectangle regardless of whether the rotation happens before or after the translation.