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postulates and theorems relating to quadrilaterals (chp. 8)

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hypothesis
conclusion
If a convex polygon has n sides and S is the sum of the measures of its interior angles   then S=180(n-2)  
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If a polygon is convex   then the sum of the measures of th exterior angles, one at each vertex, is 360  
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Opposite sides of a parallelogram   are congruent  
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Opposite angles of a parallelogram   are congruent  
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Consecutive angles in a parallelogram   are supplementary  
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If a parallelogram has one right angle   it has four right angles  
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The diagonals of a parallelogram   bisect each other  
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The diagonal of a parallelogram seperates the parallelogram into   two congruent triangles  
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If both pairs of opposite sides of a quadrilateral are congruent   then the quaderlateral is a parallelogram  
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If both pairs oppposite angles of a quadrilateral are congruent   then the quadrilateral is a parallelogram  
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If the diagonals of a quadrilateral bisect each other   then the quadrilateral is a parallelogram  
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If one pair of opposite sides of a quadrilateral is both parallel and congruent   then the quadrilateral is a parallelogram  
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If a parallelogram is a rectangle   then the diagonals are congruent  
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If the diagonals of a parallelogram are congruent   then the parallelogram is a rectangle  
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The diagonals of a rhombus   are perpendicular  
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If the diagonals of a parallelogram are perpendicular   then the parallelogram is a rhombus  
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Each diagonal of a rhombus bisects   a pair of opposite angles  
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Both pairs of base angles of an isosceles trapeziod   are congruent  
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The diagonals of an isosceles trapeziod   are congruent  
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The median of a trapezoid is parallel to the bases, and its measure is   one-half the sum of the measures of the bases  
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Created by: m.meyer
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