Question

given a rotation ( r_{e, 60^{circ}}(\triangle abc) ), which best describes the location of point ( a ) after rotation?

• point ( a ) is directly opposite point ( a ) through point ( e ).
• point ( a ) is 60 degrees clockwise from point ( a ) around point ( e ).
• point ( a ) is 60 degrees counterclockwise from point ( a ) around point ( e ).
• point ( a ) is on the same line segment as point ( a ) but at a different distance from point ( e ).

Explanation:

Step1: Understand rotation notation

The notation \(R_{E,60^{\circ}}(\triangle ABC)\) means a rotation about point \(E\) by \(60^{\circ}\).

Step2: Analyze rotation direction

In standard rotation notation, if the angle is positive, the rotation is counterclockwise.

Answer:

Point \(A'\) is \(60\) degrees counterclockwise from point \(A\) around point \(E\).