The coordinates of the vertices of △abc are a(1,1), b(5,1), and c(5,3). the coordinates of the vertices of △a′b′c′ are a′(−1,−1), b′(−5,−1), and c′(−5,−3)

.

which statement correctly describes the relationship between △abc
and △a′b′c′ ?

a.) △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′
using a translation 2 units to the left and 2 units down, which is a rigid motion.
b.) △abc is not congruent to △a′b′c′ because there is no sequence of rigid motions that maps △abc to △a′b′c′
.
c.) △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′
using a rotation of 180° about the origin, which is a rigid motion.
d.) △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′ using a reflection across the y-axis, which is a rigid motion.