Math Playground
Geometry

Parallelogram

Both pairs of opposite sides parallel — and equal.

A parallelogram has both pairs of opposite sides parallel — and that one rule forces a lot: opposite sides equal, opposite angles equal, and the diagonals bisecting each other.

Drag the corners
139139
parallelogram
area ≈ 109.4 sq units
Area

Height is the *perpendicular* distance between the two parallel sides — not the slanted side length.

Properties that come for free

  • Opposite sides are equal and parallel.
  • Opposite angles are equal; consecutive angles add to 180°.
  • The diagonals bisect each other (they cross at their midpoints).
  • Rectangles, rhombuses and squares are all special parallelograms — they just add right angles, equal sides, or both.
Watch out

Area is base × perpendicular height, not base × slanted side. Slide the top of the parallelogram above sideways: the side length changes, but if the height stays the same, so does the area.