which rigid transformation would map △mzk to △qzk?\n a rotation about point k\n a reflection across the line…

which rigid transformation would map △mzk to △qzk?\n a rotation about point k\n a reflection across the line containing mz\n a reflection across the line containing zk\n a rotation about point z

which rigid transformation would map △mzk to △qzk?\n a rotation about point k\n a reflection across the line containing mz\n a reflection across the line containing zk\n a rotation about point z

Answer

Brief Explanations:

A reflection across the line containing $\overline{ZK}$ will map $\triangle MZK$ to $\triangle QZK$ because the line $\overline{ZK}$ is the perpendicular bisector of $\overline{MQ}$, and a reflection across a perpendicular bisector of a segment will swap the endpoints of the segment while keeping the points on the perpendicular - bisector fixed. Points $Z$ and $K$ are common to both triangles and will remain in the same position during the reflection across the line containing $\overline{ZK}$, and points $M$ and $Q$ will be swapped.

Answer:

a reflection across the line containing $\overline{ZK}$