Unit 8 · Polygons and Quadrilaterals

8.2Properties of Parallelograms

Quick Answer

A parallelogram has opposite sides parallel and congruent, opposite angles congruent, consecutive angles supplementary, and diagonals that bisect each other.

Essential Question

How do the four key properties of a parallelogram all follow from the definition that opposite sides are parallel?

Learning Goals

  • 1State the four properties of a parallelogram.
  • 2Apply properties to find missing side lengths and angle measures.
  • 3Use the diagonal bisection property.
  • 4Solve algebraic problems using parallelogram properties.

Key Vocabulary

Parallelogram

A quadrilateral with both pairs of opposite sides parallel.

Diagonal bisection

In a parallelogram, the diagonals bisect each other (each diagonal cuts the other into two equal segments).

Full lesson content coming soon

Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.