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
Well, honey, perpendicular lines meet at a right angle, so any shape with right angles can have perpendicular lines. That means squares, rectangles, and even some funky trapezoids can have those bad boys. Just keep those lines straight and at a perfect 90-degree angle, and you're good to go.
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.