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xGeometry

Parallelogram

Base
$$b$$
Height
$$h$$
Oblique Side
$$S$$
Longer Diagonal
$$d_{1}$$
Shorter Diagonal
$$d_{2}$$
$$2p = 2b + 2S$$
Perimeter
$$b = \frac{2p - 2S}{2}$$
Base
$$S = \frac{2p - 2b}{2}$$
Oblique Side
$$A = b \times h$$
Area
$$b = \frac{A}{h}$$
Base
$$h = \frac{A}{b}$$
Height

Definition

A parallelogram is a quadrilater with opposite sides parallel (and congruent)

Properties

  1. Opposite sides are congruent and parallel
  2. Opposite angles are congruent, consecutive angles are supplementary (their sum is 180°)
  3. Diagonals intersect in their midpoint
Parallelogram
Parallelogram Formulas
Data Formula
Perimeter 2p = 2 × b + 2 × S
Area A = b × h
Base b = A / h
Height h = A / b
Base b = (2p - 2 × S) / 2
Oblique Side S = (2p - 2 × b) / 2