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Algebra 5.7-5.12

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Question
Answer
Theorem 5.18   If a quadrilateral is a paralellogram, then its opposite sides are congruent  
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Theorem 5.19   If a quadrilateral is a paralellogram, then its opposite angles are congruent  
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Theorem 5.20   If a quadrilateral is a paralellogram, then its consecutive angles are supplementary  
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Theorem 5.21   If a quadrilateral is a parallelogram, then its diagonals bisect eachother  
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Theorem 5.22   If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a paralellogram  
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Theorem 5.23   If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram  
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Theorem 5.24   If on pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram  
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Theorem 5.25   If the diagonals of a quadrilateral bisect eachother, then the quadrilateral is a paralellogram  
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Theorem 5.26   A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles  
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Theorem 5.27   A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles  
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Theorem 5.28   A parallelogram is a rectangle if and only if its diagonals are congruent  
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Theorem 5.29   If a trapezoid is isosceles, then each pair of base angles is congruent  
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Theorem 5.30   If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid  
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Theorem 5.31   A trapezoid is isosceles if and only if its diagonals are congruent  
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Theorem 5.32 (Midsegment Theorem for Trapezoids)   the midesegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the base  
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Theorem 5.33   If a quadrilateral is a kite, then its diagonals are perpendicular  
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Theorem 5.34   If a quadrilateral is a kite, then exactly one pair of opposite sides is congruent  
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