Question

a composition of transformations maps △xyz to △xyz. the first transformation for this composition is , and the second transformation is a 90° rotation about point x. a 180° rotation about point x a 270° rotation about point x a translation to the right a reflection across line m

Explanation:

By observing the orientation and position change of \(\triangle XYZ\) to the intermediate - stage triangle before the \(90^{\circ}\) rotation about point \(X\), we can see that the shape has been flipped across a line. A reflection across line \(m\) would change the orientation of the triangle as shown. A rotation of \(180^{\circ}\) or \(270^{\circ}\) about point \(X\) or a translation to the right would not result in the intermediate - stage shape shown.

Answer:

a reflection across line \(m\)