which rigid transformation would map △aqr to △akp?\n a rotation about point a\n a reflection across the line…

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

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

Answer

Explanation:

Step1: Analyze rotation

A rotation about point A can re - orient △AQR to match △AKP as point A is common and the shape and size are preserved in rotation.

Step2: Analyze reflections

A reflection across the line containing AR would not map △AQR to △AKP as the orientation of the triangles with respect to the line AR is not correct for a reflection. Similarly, a reflection across the line containing AQ would not work.

Step3: Analyze rotation about point R

A rotation about point R would not map △AQR to △AKP as point A would not be in the correct position after rotation about R.

Answer:

a rotation about point A