Question

which rigid transformation would map δabc to δabf? a rotation about point a a reflection across the line containing cb a reflection across the line containing ba a rotation about point b

Explanation:

A reflection across the line containing \(\overline{BA}\) would map \(\triangle ABC\) to \(\triangle ABF\) because a reflection is a rigid transformation that flips a figure over a line. In this case, line \(BA\) acts as the axis of reflection. Rotation about point \(A\) or \(B\) would change the orientation in a rotational way rather than the mirror - like mapping seen here. A reflection across the line containing \(\overline{CB}\) would not map \(C\) to \(F\) as required.

Answer:

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