Question

he vertices of a triangle are P(-3,8), Q(-6,-4), and R(1,1). Name the vertices of the image reflected in the X-axis

Answer 1

P'(-3, -8), Q'(-6, 4), R'(1, -1)

Explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign: it becomes (x, -y).

Thus, if a point P, say, (-3, 8) is eightn units above the x-axis, its reflection P' will be the same distance below, at (-3, -8).

Thus, we get the following transformations.

P (-3, 8) ⟶ P' (-3, -8)

Q (-6, -4) ⟶ Q' (-6, 4)

R (1, 1) ⟶ R' (1, -1)

Thus, the vertices of the reflected triangle are P' (-3, -8), Q' (-6, 4), R' (1, -1).

The image below shows ∆PQR and its reflection ∆P'Q'R' across the x-axis.