7.5 Trapezoids and Kites. Trapezoids Definition- A quadrilateral with exactly one pair of parallel sides. Bases – Parallel sides Legs – Non-parallel sides.

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Presentation transcript:

7.5 Trapezoids and Kites

Trapezoids Definition- A quadrilateral with exactly one pair of parallel sides. Bases – Parallel sides Legs – Non-parallel sides Isosceles Trapezoid – Legs are congruent.

Identify the quadrilateral

Trap Theorems Isosceles Trapezoid Base Angles Theorem If trapezoid is isosceles, then each pair of base angles is congruent. Isosceles Trapezoid Base Angles Converse If a trapezoid has a pair of congruent base angles, then it is isosceles. Isosceles Trapezoid Diagonals Theorem A trapezoid is isosceles if and only if the diagonals are congruent.

Midsegment of a Triangle What were the two properties?

Midsegment of a Trapezoid 1)The length of the midsegment is equal to the average of the lengths of the bases. 2)The midsegment is parallel to the bases.

Guided Practice 1)Find the measure of each angle in trapezoid QTSR 2)Find the length of MN. 3)Find the length of AB.

Kites Definition: Two pairs of consecutive congruent sides, but opposite sides are not congruent.

Theorem: Diagonals are perpendicular. Theorem: Exactly one pair of opposite angles are congruent.

Guided Practice