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properties of parallelogram

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The key properties of a parallelogram are:

  • Opposite sides are parallel
  • Opposite sides are congruent
  • Opposite angles are congruent
  • Any two consecutive angles are supplementary (add up to 180 degrees)
  • The two diagonals bisect each other

To find the perimeter of a parallelogram, add up the four side lengths.

To find the area of a parallelogram, multiply base * height.  Note that the height must be measured perpendicular to the base.

A rectangle and a square are special cases of parallelograms, where all four angles are right angles. A rhombus and a square are special cases of parallelograms, where all four side lengths are the same.

Comments

Some additional points about the five listed properties. The first one is the definition of a parallelogram. The other four are theorems that can each be proven with a two-column proof.

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