Question

The vertices of ∆PQR are P(–2, –4), Q(2, –5), and R(–1, –8). If you reflect ∆PQR across the y-axis, what will be the coordinates of the vertices of the image ∆P′Q′R′?

Answer 1

A reflection around the axis and is given by the following rule:
 (x, y) ----> (-x, y)
 Applying the rule to each vertex we have:
 (-2, -4) ----> (2, -4)
 (2, -5) ----> (-2, -5)
 (-1, -8) ----> (1, -8)
 Answer:
 the coordinates of the vertices of the image ΔP'Q'R 'will be:
 P '= (2, -4)
 Q '= (- 2, -5)
 R '= (1, -8)