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. A) The areas may or may not be the same because the scale is not given. B) The areas are equal. A reflection is a rigid transformation, which does not change the size of the original hexagon. Therefore, the area is preserved. C) The area of the original hexagon is greater than the transformed figure. A reflection decreases the size of the original polygon. Therefore, the area is not preserved. D) The area of the transformed hexagon is greater than the original figure. A reflection increases the size of the original polygon. Therefore, the area is not preserved.

Answer 1

Reflection along x-axis is just a swapping of left and right sides. It does not change the size or area of the hexagon.

Hence, the correct option is B.