Are two regular hexagons always congruent? explain your answer.

No, two regular hexagons need not always be congruent.

Two figures are said to be congruent if they have the same side length and same interior angles.

while two angles are said to be similar if the corresponding sides of the two figure have the same ratio.

Regular hexagon--

A polygon with six sides such that the polygon is equiangular and equilateral.

( i.e. each of the angles and each of the sides must be of equal length)

Also, the sum of the interior angles of a regular hexagon is 720 degrees.

Because the sum of the interior angles will be equal but the side lengths may be different of both the hexagons.

They will be similar but not be congruent.

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.