Parallelogram Rules | āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āύāĻŋāϝāĻŧāĻŽ













1. Opposite Sides are Parallel | āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ


Opposite sides of a parallelogram are parallel. (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āĻĒā§°āĻ¸ā§āĻĒā§°ā§° āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AB âˆĨ CD, BC âˆĨ AD


2. Opposite Sides are Equal | āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āϏāĻŽāĻžāύ

Opposite sides of a parallelogram are equal in length. (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧā§° āĻĻā§ˆā§°ā§āĻ˜ā§āϝ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AB = CD, BC = AD


3. Opposite Angles are Equal | āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ

Opposite angles of a parallelogram are equal. (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A = ∠C, ∠B = ∠D


4. Adjacent Angles are Supplementary | āĻ•āĻžāώ⧰⧀āϝāĻŧāĻž āϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ ā§§ā§Žā§Ļ°

Any two adjacent angles of a parallelogram add up to 180°. (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ•āĻžāώ⧰⧀āϝāĻŧāĻž āĻĻ⧁āϟāĻž āϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ ā§§ā§Žā§Ļ° āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A + ∠B = 180°


5. Diagonals Bisect Each Other | āĻ•ā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧ⧇ āĻĒā§°āĻ¸ā§āĻĒā§°āĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇

The diagonals of a parallelogram bisect each other. If diagonals AC and BD intersect at O, then: (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ•ā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧ⧇ āĻĒā§°āĻ¸ā§āĻĒā§°āĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤ āϝāĻĻāĻŋ AC āφ⧰⧁ BD āĻ•ā§°ā§āĻŖ O āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āϛ⧇āĻĻ āϕ⧰⧇, āϤ⧇āĻ¨ā§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. (āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜāϤ āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āφ⧰⧁ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ, āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ, āĻ•āĻžāώ⧰⧀āϝāĻŧāĻž āϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ ā§§ā§Žā§Ļ°, āφ⧰⧁ āĻ•ā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧ⧇ āĻĒā§°āĻ¸ā§āĻĒā§°āĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤)



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