Question

look at triangle xyz on the coordinate plane. if triangle xyz is rotated counter - clockwise 90° about the origin to form triangle xyz, which of the following is true? triangle xyz is congruent to triangle xyz but does not have the same orientation of the vertices as triangle xyz. triangle xyz is not congruent to triangle xyz but does have the same orientation of the vertices as triangle xyz. triangle xyz is not congruent to triangle xyz and does not have the same orientation of the vertices as triangle xyz. triangle xyz is congruent to triangle xyz but does have the same orientation of the vertices as triangle xyz.

Explanation:

A 90 - degree counter - clockwise rotation about the origin is a rigid transformation. Rigid transformations preserve side lengths and angle measures, so the pre - image and image are congruent. However, a rotation changes the orientation of the vertices.

Answer:

Triangle \(X'Y'Z'\) is congruent to triangle \(XYZ\) but does not have the same orientation of the vertices as triangle \(XYZ\)