Question

The coordinates of the vertices of ΔXYZ are (4, –1), (2, –4), and (7, –4). The coordinates of image ΔXʹYʹZʹ are (−4, −1), (−2, −4), and (−7, −4). This transformation can be expressed as (x, y) ⟶ (−x, y). Is ΔXYZ congruent to ΔXʹYʹZʹ? Why or why not?

Answer 1

ΔXYZ is congruent to ΔXʹYʹZʹ.

Because the second triangle is only a reflection (over the y axis) of the first one, they are the same size. The size or shape of it did not change.