Question

figure wxyz was transformed to create figure wxyz. which transformation took place? a reflection over line r. a translation 6 units down and 4 units to the right. a rotation 90° clockwise around point y. a rotation 180° clockwise around point y.

Explanation:

Examine the position and orientation of the figure before and after transformation. A reflection over line \(r\) would flip the figure across the line. A translation moves the figure without rotation or reflection. Rotations change the orientation of the figure around a point. By observing the relative position of points and the orientation of the figure \(WXYZ\) and \(W'X'Y'Z'\), we can see that it is a \(180^{\circ}\) clock - wise rotation around point \(Y\) as the figure is upside - down and in a position consistent with a \(180^{\circ}\) turn around \(Y\).

Answer:

A rotation \(180^{\circ}\) clockwise around point \(Y\).