Question

Suppose that on a coordinate plane a hexagon is reflected across the x-axis. Compare the area of the original hexagon to the area of the transformed figure. Justify your answer

Answer 1

Answer and step-by-step explanation:

The areas will be the same.

A reflection is called a rigid transformation. It preserves congruence of sides and of angles. This means that reflecting the hexagon across the x-axis will not in any way change the size or shape of the figure, just the positioning.

Since the size and shape are the same, the areas will be the same.