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Trapezoid Properties

Trapezoid Properties. A trapezoid is a quadrilateral with exactly one pair of parallel sides The bases of a trapezoid are the parallel sides The base angles of a trapezoid are the pairs of angles that share a common base A trapezium is a quadrilateral with no parallel sides

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Trapezoid Properties

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  1. Trapezoid Properties • A trapezoid is a quadrilateral with exactly one pair of parallel sides • The bases of a trapezoid are the parallel sides • The base angles of a trapezoid are the pairs of angles that share a common base • A trapezium is a quadrilateral with no parallel sides • There are two bones in your wrist called the trapezoid and trapezium because of their shapes • An isosceles trapezoid is a trapezoid in which the two non-parallel sides are congruent

  2. R A 1 2 3 4 T P Trapezoid Properties • There are two additional congruencies associated with isosceles trapezoids 6.12 Isosceles Trapezoid Base Angles Theorem • The base angles of an isosceles trapezoid are congruent • In the diagram below, Ð1@ Ð2 and Ð3@ Ð4 6.13 Isosceles Trapezoid Diagonals Theorem • The diagonals of an isosceles trapezoid are congruent • In the diagram below, RP@ AT

  3. Trapezoid Properties • The segment connecting the midpoints of the two nonparallel sides of a trapezoid is called the midsegment of a trapezoid Trapezoid Midsegment Theorem • The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases

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