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6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments.

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Presentation on theme: "6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments."— Presentation transcript:

1 6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments

2 Trapezoid definition A Trapezoid is a quadrilateral with only one pair of parallel sides.

3 Isosceles Trapezoids Isosceles Trapezoids have congruent legs.

4 Theorem In a Isosceles Trapezoid each pair of base angles are congruent.

5 Theorem If a pair of base angles in a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.

6 Theorem In an Isosceles trapezoid the diagonals are congruent.

7 Definition of a Midsegment Midsegment connect the midpoints of the legs.

8 Theorem The Midsegment equal half the parallel sides sum.

9 Solve for NO = The Midsegment equal half the parallel sides sum.

10 Definition of a Kite A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.

11 Theorem Diagonals in a kite are perpendicular.

12 Theorem In a Kite, exactly one pair of opposite angles are congruent.

13 Homework Page 359 – 362 # 10 – 24 even, 25 – 27, 28 – 38 even

14 Homework Page 359 – 362 # 11 – 23 odd, 31, 33, 35, 37, 39, 48 -52 39, 48 -52


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