Question

which transformation would result in the same image as a composition transformation of reflections across the x - axis and then the y - axis? (1 point) a reflection a dilation a 180 - degree rotation a 90 - degree rotation

Explanation:

Step1: Recall reflection rules

Let a point be $(x,y)$. Reflection across the $x - axis$ changes it to $(x, - y)$. Then reflection across the $y - axis$ changes $(x,-y)$ to $(-x,-y)$.

Step2: Recall rotation rules

A $180$-degree rotation of a point $(x,y)$ about the origin using the rule $(x,y)\to(-x,-y)$.

Answer:

C. a 180 - degree rotation