Any shape with straight edges can have perpendicular edges.
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A non geometric shape can be defined as shapes with irregular contours, and whose edges are not straight. On the other hand, geometric shapes are shapes with regular contours and straight edges such as squares, triangles, or circles. ~by Kate Wellsonberg
Perpendicular lines are lines that intersect at a 90-degree angle. In two dimensions, perpendicular lines form right angles, which are commonly found in the shape of a square, rectangle, or any other quadrilateral with perpendicular sides. In three dimensions, perpendicular lines can form the edges of a cube or rectangular prism.
a pyramid has 4 straight edges
There are twp perpendicular edges in a triangular prism. See if you draw a triangle you'll have two angles or edges that are the same length. That is if you draw a standard triangle.
Hexagons come in many different shapes and sizes. As long as the figure has 6 straight edges and 6 angles, (with closed figure, of course) it's a hexagon. A regular hexagon though, has no perpendicular sides.A regular 6 sided hexagon has no perpendicular lines but it does have 3 pairs of parallel lines.