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 90 - degree rotation
a 180 - degree rotation
a reflection
a dilation

Explanation:

Let a point $(x,y)$ be in the coordinate - plane. A reflection across the x - axis changes the point to $(x, - y)$. Then, a reflection across the y - axis changes $(x, - y)$ to $(-x,-y)$. A 180 - degree rotation of a point $(x,y)$ about the origin is given by the transformation $(x,y)\to(-x,-y)$.

Answer:

a 180 - degree rotation