Question

Triangle POR with vertices P(3, -6), (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? (5 points)

It is similar 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'(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 (9.-18), Q'(18, -27), and R'(-45,9).

Answer 1

dilation means making bigger, and by a factor of 3, so multiplying by 3. Therefore correct answer would be "It is similar to triangle PQR and has coordinates P'(9, -18), Q'(18, -27), and R'(-45,9)

Answer 2

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

Explanation:

It can't be congruent because the triangles angles and size would have to be the same. Hope this helps.