Properties of Trapezoids

Definition: A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Isosceles trapezoids have the following special properties:
– Legs are congruent
– Diagonals are congruent
– Base angle pairs are congruent
(top angles congruent, bottom angles congruent)

trapezoid_499x238.jpg

Example: Determine if the trapezoid is isosceles or irregular:

area_of_trapezoid_image6.jpg

Solution: 

Use the figure to determine if the trapezoid is isosceles or irregular.

Step 1: The figure shows there are no congruent opposite sides, and only one pair of congruent angles.

Step 2: Because this figure does not have a pair of congruent legs, we know it is not an isosceles trapezoid.

Based on these properties, we can conclude that the trapezoid is irregular.

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