The coordinates of the vertices of △PQR are P(−3,4), Q(−3,1), and R(−1,1). The coordinates of the vertices of △P′Q′R′ are P′(−6,−5), Q′(−6,−1), and R′(−4,−1)


Which statement correctly describes the relationship between △PQR

and △P′Q′R′ ?


A.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′

using a reflection across the x-axis followed by a translation 3 units to the left, which is a sequence of rigid motions.

B.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′

using a translation 3 units to the left followed by a reflection across the x-axis, which is a sequence of rigid motions.

C.) △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′

.

D.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis followed by a translation 1 unit down, which is a sequence of rigid motions.