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7.5 Trapezoids and Kites

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

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Identify the quadrilateral

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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.

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Midsegment of a Triangle What were the two properties?

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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.

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

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

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

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Guided Practice

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