Question

Which statement best explains whether △PQR is congruent to △XYZ?

△PQR ​ is congruent to △XYZ because △PQR can be mapped to △XYZ by a rotation of 180° about the origin.

​ △PQR ​ is congruent to △XYZ because △PQR can be mapped to △XYZ by a translation 5 units down followed by a reflection across the y-axis.

△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.

△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a reflection across the y-axis followed by a reflection across the x-axis.

Answer 1

△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.

Explanation:

Answer 2

△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.

Explanation:

We can see from the diagram that XYZ is not the same size as PQR. This means there is no series of rigid motions, which preserve segment length, that maps PQR to XYZ.