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A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.
A regular pentagon doesn't tessellate because of the way the sides are joined together and hes shape of the regular pentagon.Something along those lines anyway.....
There are several options: A hexagon based pyramid A pentagonal based bipyramid A triangular based prism + quadrilateral pyramid (attached along a quadrilateral face) A triangular pyramid on a triangular prism (attached along a triangular face)
The given net shows a hexagonal prism, which is a three-dimensional shape with two hexagonal faces and six rectangular faces connecting them. The hexagonal faces are the bases of the prism, while the rectangular faces are the lateral faces. When the net is folded along the edges and assembled, it forms a hexagonal prism with a regular hexagon as its base and top.
Think of your regular trapezoid (half a hexagon). Now cut it in half with a line perpendicular to the top and bottom. You can see the right angles along one side. The top and bottom lines are parallel. The seond angle on the bottom is acute, and the second top is obtuse. Can't be bothered to provide diagrams, though. Draw them yourself.