Diagonals of an Isosceles Trapezoid

Diagonals of an Isosceles Trapezoid

How to solve the diagonals of an isosceles trapezoid problems: property, example, and its solution.

Property

Four segments are formed by the diagonals of an isosceles trapezoid. The top two segments are congruent. And the bottom two segments are congruent.

Four segments are formed
by the diagonals of an isosceles trapezoid.

The top two segments are congruent. (blue)
And the bottom two segments are congruent. (red)

Example

Find BD. Upper left segment: 6, lower left segment: 11

The blue segments are congruent.
So the right blue segment is 6.

BD = 6 + 11