Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

Question

random231 · Answer

a parallelogram is defined as opposite sides are equal...

anonymous · Answer

Ok so what is the therom for that?

random231 · Answer

In Euclidean geometry, a parallelogram is a simple (non self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel .

((** from wikipedia))