Question

which rigid transformation would map △aqr to △akp? a rotation about point a a reflection across the line containing ar a reflection across the line containing aq a rotation about point r

Explanation:

Step1: Analyze rotation and reflection

A rotation about a point moves a figure around that point. A reflection flips a figure across a line.

Step2: Check rotation about point A

If we rotate \(\triangle AQR\) about point \(A\), we can align it with \(\triangle AKP\) as the common - point is \(A\) and the sides and angles can be made to match.

Step3: Check reflections

A reflection across the line containing \(\overline{AR}\) or \(\overline{AQ}\) will not map \(\triangle AQR\) to \(\triangle AKP\) as the orientation of the triangles will not match. A rotation about point \(R\) will not work as point \(A\) is the key common vertex for the mapping.

Answer:

a rotation about point A