Parallelogram Properties 99Ffb5

1. **Problem Statement:** Understand the properties of parallelograms. 2. **Definition:** A parallelogram is a quadrilateral with both pairs of opposite sides parallel. 3. **Properties:** - Opposite sides are equal in length: $$AB = CD$$ and $$BC = AD$$. - Opposite angles are equal: $$\angle A = \angle C$$ and $$\angle B = \angle D$$. - Consecutive angles are supplementary: $$\angle A + \angle B = 180^\circ$$. - The diagonals bisect each other: If diagonals are $$AC$$ and $$BD$$, then $$AE = EC$$ and $$BE = ED$$ where $$E$$ is the intersection point. 4. **Explanation:** These properties arise because the opposite sides are parallel, which creates congruent alternate interior angles and equal segments when diagonals intersect. 5. **Summary:** Knowing these properties helps in solving geometry problems involving parallelograms by applying equalities and angle relationships.