Question

A triangle has the coordinates (−3, 4), (−4, 7), and (−2, 7) at its vertices. The transformed triangle has the coordinates (−4, −3), (−7, −4), and (−7, −2) at its vertices.

Are the triangle and its transformation congruent? Why or why not?

A. No, the transformation is a 90° clockwise rotation.

B. No, the transformation is a 180° clockwise rotation.

C. Yes, the transformation is a 270° clockwise rotation.

D. Yes, the transformation is a 360° clockwise rotation.

Answer 1

First draw an x-y plane and plot the coordinates (−3, 4), (−4, 7), and (−2, 7) for the first triangle. Then, plot the coordinates (−4, −3), (−7, −4), and (−7, −2) for the second triangle. Examine the graph and then identify if it is congruent or not and measure it's rotation.

The answer is C. Yes, the transformation is a 270 degree clockwise rotation.