Question

The coordinates of the vertices of ΔPQR are (–2, –2), (–6, –2), and (–6, –5).
The coordinates of the vertices of ΔPʹQʹRʹ are (−2, 2), (−6, 2), and (−6, 5).
This transformation can be expressed as (x, y) → (x, −y).

Is the orientation of ΔPQR the same as the orientation of ΔPʹQʹRʹ? Why or why not?

A.
No, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis.

B.
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis.

C.
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the y-axis.

D.
No, ΔPʹQʹRʹ is a reflection of ΔPQR over the y-axis.

Answer 1

(x, y) → (x, −y) is a reflection over the x-axis. Since its a reflection, the orientation of the shape will also change. As a result, we can safely deduce that ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis.