Question

PLEASE HELP ASAP!!! :)

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

The rule of the transformation is
(x,y)->(-y,x)
which corresponds to a 90 counterclockwise rotation about the origin,
which in turn corresponds to a 270 clockwise rotation about the origin.

Note that all rotations preserve lengths and angles, hence the image and preimage are congruent.