Question

cedric applied the rule ( r_{m} circ r_{p, 90^{circ}}(x, y) ) to figure wxyz. what mistakes did he make? select two options. he applied the reflection to the pre - image first. he applied the rotation to the pre - image first. he changed the size of the figure instead of just applying a rotation. he used point p as the center of rotation. he used an incorrect angle of rotation around point p.

Explanation:

• In a composition of transformations \(r_{m}\circ R_{P,90^{\circ}}(x,y)\), the notation \(r_{m}\circ R_{P,90^{\circ}}\) means that the rotation \(R_{P,90^{\circ}}\) (rotation about point \(P\) by \(90^{\circ}\)) should be applied first, and then the reflection \(r_{m}\) (reflection over line \(m\)). Cedric applied the reflection first, which is wrong.
• Also, when looking at the transformation of the figure, the center of rotation should be a point around which the figure turns. If the figure is not rotating around point \(P\) as it should (based on the composition \(r_{m}\circ R_{P,90^{\circ}}\)), using point \(P\) as the center of rotation is incorrect in the context of the described composition (assuming the visual - the figure does not seem to rotate about \(P\) as per the composition rule).

Answer:

He applied the reflection to the pre - image first. ; He used point \(P\) as the center of rotation.