Question

Triangle PQR has vertices P(3, 5), Q(2, -1), and R(-6, 2). Triangle P'Q'R' has vertices P'(3, -5), Q'(2, 1), and R'(-6, -2). Which transformation of triangle PQR produced triangle P'Q'R'?

A. Translation.
B. Reflection.
C. Rotation.
D. Dilation.

Answer 1

The transformation that produced triangle P'Q'R' from triangle PQR is a reflection over the x-axis.

Step-by-step explanation:

In order to determine the transformation that produced triangle P'Q'R' from triangle PQR, we need to analyze the coordinates of the vertices in both triangles.

If we compare the points P(3, 5) and P'(3, -5), we can see that the y-coordinate has changed sign, indicating a reflection over the x-axis. This means that the correct answer is B. Reflection.