Question

two rigid transformations are used to map △abc to △qrs. the first is a translation of vertex b to vertex r. what is the second transformation? a rotation about point c a reflection across the line containing cb a rotation about point b a reflection across the line containing ab

Explanation:

Step1: Analyze the effect of translation

After translating vertex \(B\) to vertex \(R\), we need to align the other vertices. A translation moves the figure without rotation or reflection.

Step2: Consider rotation about point \(B\)

If we rotate \(\triangle ABC\) (after translation of \(B\) to \(R\)) about point \(B\) (now at \(R\)), we can align the other sides and angles. Rotation about a point changes the orientation of the figure. Since we want to map \(\triangle ABC\) to \(\triangle QRS\) and after translation of \(B\) to \(R\), a rotation about point \(B\) (the translated point) will help in getting the correct congruent mapping.

Answer:

a rotation about point \(B\)