Question

question 2 of 10
what degree of rotation about the origin will cause the triangle below to map onto itself?

Explanation:

Step1: Recall rotation properties

A full - rotation of \(360^{\circ}\) about any point (in this case, the origin) will map any figure onto itself.

Step2: Analyze other rotation degrees

For non - \(360^{\circ}\) rotations (e.g., \(90^{\circ},180^{\circ},270^{\circ}\)), the orientation and position of the triangle (based on its vertices' coordinates and shape) will change. But a \(360^{\circ}\) rotation is equivalent to a full turn, bringing each point of the triangle back to its original position.

Answer:

A. \(360^{\circ}\)