Question

cedric applied the rule ( r_m circ r_{p, 30^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:

1. The notation $r_m \circ R_{P, 90^\circ}(x,y)$ means rotation first, then reflection. Cedric did reflection first, getting $W'X'Y'Z'$, then rotated that. This is the first mistake.
2. The rotation $R_{P, 90^\circ}$ is a 90-degree rotation around point P. The final figure $X''W''Y''Z''$ shows a 180-degree rotation around P, not 90 degrees. This is the second mistake.

Answer:

He applied the reflection to the pre-image first.
He used an incorrect angle of rotation around point P.