Trapezoids Euclidean Geometry High School Math Online.

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Presentation transcript:

Trapezoids Euclidean Geometry High School Math Online

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

Parts of a Trapezoid The parallel sides are called the bases. The parallel sides are called the bases. The nonparallel sides are called the legs. The nonparallel sides are called the legs. leg base

Isosceles Trapezoid Definition: A trapezoid with congruent legs Definition: A trapezoid with congruent legs

Properties of Isosceles Trapezoid Each pair of base angles is congruent Each pair of base angles is congruent Diagonals are congruent Diagonals are congruent

Median of a Trapezoid A segment joining the midpoints of the legs A segment joining the midpoints of the legs Length of the median is equal to ½ times the sum of the bases Length of the median is equal to ½ times the sum of the bases

Area of a Trapezoid Area = ½h (b 1 + b 2 ) Area = ½h (b 1 + b 2 ) H = height of the trapezoid H = height of the trapezoid B 1 = one of the bases B 1 = one of the bases B 2 = the other base B 2 = the other base