6.5 TRAPEZOIDS OBJECTIVE: USE PROPERTIES OF TRAPEZOIDS.

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Presentation transcript:

6.5 TRAPEZOIDS OBJECTIVE: USE PROPERTIES OF TRAPEZOIDS

TRAPEZOID -Is a quadrilateral with exactly ONE pair of parallel sides. -The parallel sides are the BASES. -The nonparallel sides are the LEGS. _______________________________________________________ * If the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.

THEOREMS ABOUT TRAPEZOIDS If a trapezoid is isosceles, then each pair of base angles are congruent. If a trapezoid has a pair of congruent base angles, then it is isosceles.

EXAMPLE 1 PQRS is an isosceles trapezoid. Find the missing angle measures.

YOU TRY IT… Given ABCD is an isosceles trapezoid, find the missing angle measures.

MIDSEGMENTS The midsegment of a trapezoid is the segment that connects the midpoints of its legs. The midsegment of a trapezoid is parallel to the bases. The length of the midsegment of a trapezoid is half the sum of the lengths of its bases: Midsegment of Trapezoid = (base 1 + base 2 )

EXAMPLE 2 Find the length of the midsegment DG of trapezoid CEFH.

YOU TRY IT… Find the length of the midsegment MN of each trapezoid.

6.6 REASONING ABOUT QUADRILATERALS

EXAMPLE 1

EXAMPLE 2

YOU TRY IT…

CLASSWORK