Question

which rigid transformation would map △abc to △abv? a rotation about point a a reflection across the line containing ba a rotation about point b a reflection across the line containing cb

Explanation:

Step1: Recall properties of rigid transformations

Rigid transformations (rotations, reflections) preserve shape and size. A reflection across a line maps a figure to its mirror - image.

Step2: Analyze the triangles

In the case of mapping \(\triangle ABC\) to \(\triangle ABF\), if we consider the line containing \(\overline{BA}\), the reflection of point \(C\) across the line \(BA\) will land on point \(F\) (since \(AC = AF\) as indicated by the tick - marks and \(\angle CAB=\angle FAB\)).

Answer:

a reflection across the line containing \(\overline{BA}\)