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Trapezoid

See how to solve a trapezoid
(angles/median/diagonals/area).
5 examples and their solutions.

Trapezoid: Definition

Definition

A trapezoid is a quadrilateral
that have a pair of parallel sides.
Base: Parallel sides
Legs: Non-parallel sides

Trapezoid: Angles

Property



m∠1 + m∠2 = 180
m∠1' + m∠2' = 180

Example

Solution

Trapezoid: Median

Definition

The median of a trapezoid is a line segment
that connects the midpoints of the legs.

Formula


m = 12(b1 + b2)

Example

Solution

Isosceles Trapezoid: Definition

Definition

An isosceles trapezoid is a trapezoid
whose legs and base angles are congruent.

Isosceles Triangle

Isosceles Trapezoid: Angles

Property


m∠1 = m∠1'
m∠2 = m∠2'

m∠[blue] + m∠[green] = 180

Example

m∠A, m∠B, m∠C = ?

Solution

Isosceles Trapezoid: Diagonals

Formula

Example

BD = ?

Solution

Trapezoid: Area

Formula


A = 12(b1 + b2)h

Example

Solution