1. Use Properties of Trapezoids and Kites Lesson 8.5

2. Definitions BASE Trapezoid- A quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases. Has two pair of base angles. The nonparallel sides are the legs. Isosceles Trapezoid- If legs of a trapezoid are congruent. BASE LEG

3. Theorem 8.14 If a trapezoid is isosceles, then each pair of base angles is congruent. A BC D

4. Theorem 8.15 If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid A BC D

5. Theorem 8.16 A trapezoid is isosceles if and only if its diagonals are congruent A B C D

6. Theorem 8.17 Midsegment Theorem for Trapezoids The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. AB N C D M Midsegment of a Trapezoid- Is the segment that connects the midpoint of its legs.

7. Theorem 8.18 Kite- Is a quadrilateral that has two pair of consecutive congruent sides, but opposite sides are not congruent. If a quadrilateral is a kite, then its diagonals are perpendicular A B C D

8. Theorem 8.19 If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. A B C D

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