Is There an Ssss Congruence Theorem for Parallelograms

SSSS does not exist as a method to prove that parallelograms are congruent. If you see this common error…, it might mean this… Students trying to show adjacent sides are perpendicular… They are only looking at special quadrilaterals.

Does SSS congruence apply to quadrilaterals?

SSSS Solution: These are two quadrilaterals satisfying SSSS, but they are not congruent. d. SASSS Solution: These are two quadrilaterals satisfying SASSS, but they are not congruent. … A diagonal of a quadrilateral is a line segment connecting opposite vertices (so every quadrilateral has exactly two diagonals).

How can you prove that two parallelograms are congruent?

1. Both pairs of opposite sides are parallel.
2. Both pairs of opposite sides are congruent.
3. Both pairs of opposite angles are congruent.
4. Diagonals bisect each other.
5. One angle is supplementary to both consecutive angles (same-side interior)