Question

The vertices of triangle RST are R(–4,4) S(5,4), and T(–1,–5). If ΔLMN is similar to ΔRST and , which could be the coordinates of vertices L and M?

L(–2,2) and M(1,2)
L(–1,3)and M(–2,–3)
L(4,–3) and M(1,3)
L(–3,1) and M(0,2)

Answer 1

RS is horizontal (R(–4,4) and S(5,4) have y = 4). Only L(–2,2) and M(1,2) are also on a horizontal line (y = 2), so LM ∥ RS. Their distance is 3, which is 1/3 of RS = 9, so ΔLMN can be a 1/3 scaled copy of ΔRST.

Therefore L(–2,2) and M(1,2).