Question

question 4 of 10
what degree of rotation about the origin will cause the triangle below to map onto itself?
a 360°

Explanation:

Step1: Understand rotation symmetry

A full - circle rotation is \(360^{\circ}\).

Step2: Analyze triangle rotation

Any figure will map onto itself after a \(360^{\circ}\) rotation about a point (in this case, the origin). For a non - regular triangle (the given triangle is not an equilateral triangle which has \(120^{\circ}\) rotational symmetry), the only guaranteed rotation that maps it onto itself is \(360^{\circ}\). A \(360^{\circ}\) rotation is equivalent to a full turn, bringing each point of the triangle back to its original position.

Answer:

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