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Geometry Section 8.5 Use Properties of Trapezoids and Kites
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Trapezoid Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid leg base Base angles
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Isosceles Trapezoid Theorems If a trapezoid is isosceles, then each pair of base angles is congruent
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If a trapezoid has a pair of congruent base angles, then it is and isosceles trapezoid.
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A trapezoid is isosceles iff its diagonals are congruent.
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Midsegment of a trapezoid The segment that connects the midpoints of its legs
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Midsegment Theorem for Trapezoids The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases
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Kite A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent
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Kite Diagonal Theorem If a quadrilateral is a kite, then its diagonals are perpendicular
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Theorem If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent
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Examples Classzone
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Assignment Section 8.5 Page 546 Problems #4 – 26 even, 34, 36
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