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Unit 8 · Polygons and Quadrilaterals

8.4Rectangles

Quick Answer

A rectangle is a parallelogram with four right angles. Its diagonals are congruent and bisect each other. All parallelogram properties apply, plus the right angle and congruent diagonal properties.

Essential Question

What additional properties does a rectangle have beyond those of a general parallelogram, and how do you use them in proofs and problems?

Learning Goals

  • 1Define a rectangle as a special parallelogram.
  • 2Apply the rectangle diagonal theorem (diagonals are congruent).
  • 3Prove a parallelogram is a rectangle.
  • 4Find missing lengths using rectangle properties.

Key Vocabulary

Rectangle

A parallelogram with four right angles.

Rectangle Diagonal Theorem

The diagonals of a rectangle are congruent.

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.