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proving quadrilaterals are parallelograms

Terms in this set (11)

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
If one pair of opposite sides of a quadrilateral is BOTH congruent and parallel, then the quadrilateral is a parallelogram
If BOTH pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
Both pairs of opposite sides are parallel
both pairs of opposite sides are congruent
all angles measure 90 degrees
they are parallel
SSS (side-side-side)
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
SAS (side-angle-side)
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
ASA (angle-side-angle)
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
AAS (angle-angle-side)
If two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent.
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