Triangle PQR with vertices P(3, –6), Q(6, –9), and R(–15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′?

It is similar to triangle PQR and has coordinates P′(1, –2), Q′(2, –3), and R′(–5, 1).

It is similar to triangle PQR and has coordinates P′(9, –18), Q′(18, –27), and R′(–45, 9).

It is congruent to triangle PQR and has coordinates P′(1, –2), Q′(2, –3), and R′(–5, 1).

It is congruent to triangle PQR and has coordinates P′(9, –18), Q′(18, –27), and R′(–45, 9).

Question

Triangle PQR with vertices P(3, –6), Q(6, –9), and R(–15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′?

It is similar to triangle PQR and has coordinates P′(1, –2), Q′(2, –3), and R′(–5, 1).

	It is similar to triangle PQR and has coordinates P′(9, –18), Q′(18, –27), and R′(–45, 9).

It is congruent to triangle PQR and has coordinates P′(1, –2), Q′(2, –3), and R′(–5, 1).

It is congruent to triangle PQR and has coordinates P′(9, –18), Q′(18, –27), and R′(–45, 9).

anonymous · Answer

can you ladies give me a hand?

anonymous · Answer

anybody? i really need this :(

perl · Answer

when you scale a triangle by a factor, you are shrinking it or growing it in size (but with all the parts being proportional)

perl · Answer

so the two triangles can't be congruent, since congruent means they are exactly identical in size. and the triangle grew in size (each side grew by a factor of 3)