What shapes have no perpendicular or no parallel lines?

Answer 1

Any regular polygon with an odd number of sides.

• Triangle (3 sides at 60 degree angles)
• Pentagon (5 sides at 108 degree angles)
• Heptagon (7 sides at approximately 129 degree angles (3 s.f.))
• Nonagon (9 sides at 140 degree angles)
• Undecagon (11 sides at approximately 147 degree angels (3 s.f.))

and so on...

Also these quadrilaterals

• Kite (two pairs of equal side length, opposite angles equal)
• Arrow-head (two pairs of equal side length, one pair of equal angles)

Also, irregular shapes may have no perpendicular or parallel lines.

See related links for quadrilateral pictures.
a shape with no faces or lines.

Answer 2

polygon

pentagon

Answer 3

triangle