Question

A parallelogram in a coordinate plane is reflected over the line y=5 and translated 2 units left and 1 unit down.

Which statement is true?


The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.

The resulting parallelogram is congruent to the original parallelogram only if the reflection occurs first.
The resulting parallelogram is congruent to the original parallelogram only if the reflection occurs first.

The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.

The resulting parallelogram is congruent to the original parallelogram only if the translation occurs first.
The resulting parallelogram is congruent to the original parallelogram only if the translation occurs first.

Answer 1

Answer: The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.

Step-by-step explanation:

A reflection and a translation are both rigid motions, meaning both transformations preserve congruency.