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.

Question

Mathematics

Sophie

28 November, 22:12

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.

+3

Answers (1)

Know the Answer?

Ronnie Rose · 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.