Question

for item 4, use the information to answer the question. a figure is rotated 180° clockwise. what two transformations can be used together to generate the exact same outcome?

Explanation:

Step1: Recall rotation - reflection equivalence

A 180 - degree clockwise rotation is equivalent to a 180 - degree counter - clockwise rotation. Also, a 180 - degree rotation (either clockwise or counter - clockwise) is equivalent to a reflection over the x - axis followed by a reflection over the y - axis (or vice - versa).

Step2: State the two transformations

Two transformations that can achieve the same result as a 180 - degree clockwise rotation are a reflection over the x - axis and then a reflection over the y - axis.

Answer:

Reflection over the x - axis and reflection over the y - axis.