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Geometry Section 8.5. Use Properties of Trapezoids and Kites. Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid. Trapezoid. base. leg. leg. base. Base angles.

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## Geometry Section 8.5

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

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