Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
A parallelogram has four properties:
─── ･ ｡ﾟ☆: .☽ . :☆ﾟ. ───
Opposite angles are equal.
Opposite sides are equal and parallel.
Diagonals bisect each other.
Sum of any two adjacent angles is 180°
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Explanation: A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. Also, the adjacent interior angles must be supplementary angles (sum of degrees).
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Properties of Parallelograms Explained
─── ･ ｡ﾟ☆: .☽ . :☆ﾟ. ───
Opposite sides are parallel. ...
Opposite sides are congruent. ...
Opposite angles are congruent. ...
Same-Side interior angles (consecutive angles) are supplementary. ...
Each diagonal of a parallelogram separates it into two congruent triangles. ...
The diagonals of a parallelogram bisect each other.
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Hope this helps .+(´^ω^`)+.