Question

which rigid transformation would map δaqr to δakp?
○ a rotation about point a
○ a reflection across the line containing \overline{ar}
○ a reflection across the line containing \overline{aq}
○ a rotation about point r

Explanation:

Step1: Identify common vertex

Point A is shared by both triangles.

Step2: Check rotation about A

Rotating ΔAQR around A maps Q→K and R→P, matching ΔAKP.

Step3: Eliminate other options

Reflections across AR/AQ don’t align vertices; rotation about R doesn’t fix A.

Answer:

a rotation about point A