Question

what mistakes did he make? choose two correct answers. 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 an incorrect angle of rotation around point p. he used point p as the center of rotation.

Explanation:

• For the first correct answer: In a typical transformation sequence (if rotation and reflection are involved), the order of applying reflection and rotation matters. If the intended transformation was to first rotate and then reflect (or vice - versa depending on the goal), applying reflection to the pre - image first (when it should be the other way around) is a mistake.
• For the second correct answer: The center of rotation (point P) might not be the correct center for the rotation that was supposed to map figure WXYZ to its image. Using an incorrect center of rotation (point P) will lead to an incorrect transformation result. The option "He changed the size of the figure instead of just applying a rotation" is incorrect because the figures seem to be congruent (same size) from the diagram. The option "He used an incorrect angle of rotation around point P" is less likely as the main issue seems to be the center of rotation and the order of transformation rather than the angle, and the option "He applied the rotation to the pre - image first" is incorrect as per the analysis of the order of transformation.

Answer:

1. He applied the reflection to the pre - image first.
2. He used point P as the center of rotation.