Question

3.4.2 quiz: transformations
what degree of rotation about the origin will cause the triangle below to map onto itself?
a. 90°
b. 180°
c. 270°

Explanation:

Step1: Recall rotation properties

A full - rotation about the origin is 360°. A non - regular triangle will map onto itself only after a full 360° rotation. Rotations of 90°, 180°, and 270° will change the orientation of the non - symmetric triangle.

Answer:

360° (not shown as an option but the correct answer for a non - symmetric triangle to map onto itself; if we assume the options are the only choices and there is an error in the problem - posing, and we consider the general concept, a non - symmetric figure needs a 360° rotation to map onto itself exactly)