Base angles Isosceles trapezoids Midsegments

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Presentation transcript:

Base angles Isosceles trapezoids Midsegments Trapezoids and kites Base angles Isosceles trapezoids Midsegments

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

Isosceles Trapezoids Isosceles Trapezoids have congruent legs.

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

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

Theorem In an Isosceles trapezoid the diagonals are congruent.

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

Theorem The Midsegment equal half the parallel sides sum.

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

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

Theorem Diagonals in a kite are perpendicular.

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