Question

Are two regular hexagons always congruent? Explain your answer.

Answer 1

Are all regular hexagons of the same size?

Answer 2

@mathmale
no

Answer 3

If that's the case, what can you conclude regarding the "always congruent" statement?

Answer 4

So, the sum of the interior angles of a hexagon is 720 degrees. Regular Hexagons: The properties of regular hexagons: All sides are the same length (congruent) and all interior angles are the same size (congruent).
http://www.coolmath.com/reference/polygons-06-hexagons

Answer 5

All sides within the hexagon are of the same length. But this doesn't exclude the possibility that another hexagon could have equal sides within the same figure, but of different lengths as compared to the first hexagon.

The key word here is "within." All sides within a regular hexagon are certainly congruent, but if you compare the side length in one case with the side length in another (larger or smaller) hex, no. So, qualify your answer.