Mathematics

Matteo Morrow

4 September, 00:16

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.