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A parallelogram is a quadrilateral with both pairs of opposite sides parallel. 


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Opposite sides of a parallelogram are congruent. 


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Opposite sides of a parallelogram are parallel. 


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Diagonals of a parallelogram bisect each other. 


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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. 


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If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram. 


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If both pairs of opposite angle 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 two lines are parallel, then all points on one line are equidistant from the other lines. 


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If three parallel lines cut of congruent segments on one transversal, then they cut off congruent segments on every transversal. 


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A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side. 


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The segment that joins the midpoints of two sides of a triangle:
1) is parallel to the third side; 2) is half as long as the third side. 


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4 right angles and 4 congruent sides 


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The diagonals of a rectangle are congruent. 


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The diagonals of a rhombus are perpendicular. 


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Each diagonal of a rhombus bisects two angles of the rhombus. 


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The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices. 


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If an angle of a parallelograms is a right angle, then the parallelogram is a rectangle. 


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If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. 


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Base angles of an isosceles trapezoid are congruent. 


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The median of a trapezoid:
1) is parallel to the bases; 2) has a length equal to the average of the base length. 

