coordinate plane with triangles LMN and PQR with L at negative 3 comma 2, M at 1 comma 6, N at 1 comma 2, P at negative 2 comma 3, Q at 0 comma 5, and R at 0 comma 3

Question

coordinate plane with triangles LMN and PQR with L at negative 3 comma 2, M at 1 comma 6, N at 1 comma 2, P at negative 2 comma 3, Q at 0 comma 5, and R at 0 comma 3

Which set of transformations would prove ΔLMN ~ ΔPQR?

Dilate ΔPQR by the scale factor of 2 from point R, and translate ΔP′Q′R′ by the rule (x + 0, y − 1).
Dilate ΔPQR by the scale factor of 2 from point Q, and translate ΔP′Q′R′ by the rule (x + 1, y + 0).
Translate ΔPQR by the rule (x + 1, y + 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point P.
Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Answer 1

The correct set of transformations would be:

Dilate ΔPQR by the scale factor of 2 from point Q, and translate ΔP′Q′R′ by the rule (x + 1, y + 0).

This set of transformations would result in the triangles being similar, with corresponding angles being congruent and corresponding sides being proportional.