1. 6.5 TRAPEZOIDS OBJECTIVE: USE PROPERTIES OF TRAPEZOIDS

2. 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.

3. 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.

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

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

6. 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 )

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

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

9. 6.6 REASONING ABOUT QUADRILATERALS

12. EXAMPLE 1

13. EXAMPLE 2

14. YOU TRY IT…

15. CLASSWORK