Unit 8 · Polygons and Quadrilaterals

8.6Trapezoids and Kites

Quick Answer

A trapezoid has exactly one pair of parallel sides (bases). An isosceles trapezoid has congruent legs, congruent base angles, and congruent diagonals. A kite has two pairs of consecutive congruent sides; its diagonals are perpendicular.

Essential Question

How do the properties of isosceles trapezoids and kites each arise from their definitions, and how do they differ from parallelogram properties?

Learning Goals

  • 1Define trapezoid, isosceles trapezoid, and kite.
  • 2Apply isosceles trapezoid properties.
  • 3Apply kite diagonal properties.
  • 4Find missing angles and lengths in trapezoids and kites.

Key Vocabulary

Trapezoid

A quadrilateral with exactly one pair of parallel sides.

Isosceles trapezoid

A trapezoid with congruent legs.

Kite

A quadrilateral with two pairs of consecutive congruent sides.

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.