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Section 6-5 Trapezoids and Kites. Trapezoid A quadrilateral with exactly one pair of parallel sides.

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Presentation on theme: "Section 6-5 Trapezoids and Kites. Trapezoid A quadrilateral with exactly one pair of parallel sides."— Presentation transcript:

1 Section 6-5 Trapezoids and Kites

2 Trapezoid A quadrilateral with exactly one pair of parallel sides.

3 The parallel sides are called the bases. The nonparallel sides are called the legs. A trapezoid has two pairs of base angles.

4 Base leg A B C D Base Angles: and

5 Isosceles Trapezoid A trapezoid whose legs are congruent.

6 Theorem 6-14 If a trapezoid is isosceles, then each pair of base angles is congruent. A B C D Therefore

7 Theorem 6-15 If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. A B C D is an isosceles trapezoid. Therefore

8 Theorem 6-16 A trapezoid is isosceles if and only if its diagonals are congruent. A B C D is isosceles Therefore

9 MIDSEGMENT of a trapezoid The segment that connects the midpoints of its legs. Midsegment A C B D

10 Theorem 6-17 The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

11 A C B D ║ ║ N M


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