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?

Answer 1

The answer was A "L(-2,2) and M(1,2)"

Answer 2

L (0.5, 4) and M (-2.5, -0.5).

Explanation:

Similar triangles are congruent ones with proportional legs. Plotting the triangle ΔRST we have the following legs size:

`\overline{RS}=9\\\overline{ST}=10.82\\\overline{RT}=9.49`

If we consider the ratio of 1/2 and ΔLMN traced from ΔRST midpoints then the points for vertices L= (0.5, 4) and M= (-2.5, -0.5).