Mathematics

Adelaide Haley

24 June, 15:36

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.