1. Opposite Sides are Parallel | āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ
Opposite sides of a parallelogram are parallel. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āĻĒā§°āϏā§āĻĒā§°ā§° āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AB âĨ CD, BC âĨ AD
2. Opposite Sides are Equal | āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āϏāĻŽāĻžāύ
Opposite sides of a parallelogram are equal in length. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧā§° āĻĻā§ā§°ā§āĻā§āϝ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AB = CD, BC = AD
3. Opposite Angles are Equal | āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύ
Opposite angles of a parallelogram are equal. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A = ∠C, ∠B = ∠D
4. Adjacent Angles are Supplementary | āĻāĻžāώ⧰ā§āϝāĻŧāĻž āĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ ā§§ā§Žā§Ļ°
Any two adjacent angles of a parallelogram add up to 180°. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻāĻžāώ⧰ā§āϝāĻŧāĻž āĻĻā§āĻāĻž āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ā§§ā§Žā§Ļ° āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A + ∠B = 180°
5. Diagonals Bisect Each Other | āĻā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧā§ āĻĒā§°āϏā§āĻĒā§°āĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§
The diagonals of a parallelogram bisect each other. If diagonals AC and BD intersect at O, then: (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧā§ āĻĒā§°āϏā§āĻĒā§°āĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤ āϝāĻĻāĻŋ AC āĻā§°ā§ BD āĻā§°ā§āĻŖ O āĻŦāĻŋāύā§āĻĻā§āϤ āĻā§āĻĻ āĻā§°ā§, āϤā§āύā§āϤ⧠- )
Rule | āύāĻŋāϝāĻŧāĻŽ: AO = OC, BO = OD
Note: In a parallelogram, opposite sides and angles are equal, opposite sides are parallel, adjacent angles add up to 180°, and the diagonals bisect each other. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻāϤ āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻā§°ā§ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ, āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύ, āĻāĻžāώ⧰ā§āϝāĻŧāĻž āĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ ā§§ā§Žā§Ļ°, āĻā§°ā§ āĻā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧā§ āĻĒā§°āϏā§āĻĒā§°āĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤)
Quadrilateral Basics | āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŽā§āϞāĻŋāĻ āϧāĻžā§°āĻŖāĻž : Click Here