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Base angles Isosceles trapezoids Midsegments

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Presentation on theme: "Base angles Isosceles trapezoids Midsegments"— Presentation transcript:

1 Base angles Isosceles trapezoids Midsegments
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.


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