Top 5 Most Important Rules | āφāϟāĻžāχāϤāĻ•ā§ˆ āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚ā§°ā§āĻŖ ā§ĢāϟāĻž āύāĻŋāϝāĻŧāĻŽ






1. Quadrilateral Angle Sum | āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ…āĻ¨ā§āϤāσāϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ


The sum of the four interior angles of a quadrilateral is 360°. (āĻāϟāĻž āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āϚāĻžā§°āĻŋāϟāĻž āĻ…āĻ¨ā§āϤāσāϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ ā§Šā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A + ∠B + ∠C + ∠D = 360°


2. Parallelogram Opposite Sides | āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŦāĻŋāĻĒā§°ā§€āϤ āĻŦāĻžāĻšā§

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


Rule | āύāĻŋāϝāĻŧāĻŽ: AB = CD, BC = AD


3. Parallelogram Diagonals | āϏāĻŽāĻžāĻ¨ā§āϤ⧰ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ•ā§°ā§āĻŖāϏāĻŽā§‚āĻš

The diagonals of a parallelogram bisect each other. (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¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AO = OC, BO = OD


4. Rectangle Diagonals | āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§ā§°ā§° āĻ•ā§°ā§āĻŖāϏāĻŽā§‚āĻš

The diagonals of a rectangle are equal. (āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§ā§°ā§° āĻ•ā§°ā§āĻŖāĻĻ⧁āϟāĻž āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AC = BD


5. Square Diagonals | āĻŦā§°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§ā§°ā§° āĻ•ā§°ā§āĻŖāϏāĻŽā§‚āĻš

The diagonals of a square are : āĻŦā§°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§ā§°ā§° āĻ•ā§°ā§āĻŖāĻĻ⧁āϟāĻž 



  • Equal : āϏāĻŽāĻžāύ

  • Perpendicular (90°) : āĻĒā§°āĻ¸ā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°)

  • Bisect each other : 

  • āĻĒā§°āĻ¸ā§āĻĒā§°āĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇


Rule | āύāĻŋāϝāĻŧāĻŽ: AC = BD, AC ⟂ BD, AO = OC, BO = OD


Note: Revise these five rules first. They are the most important properties of quadrilaterals. (āĻĒā§ā§°āĻĨāĻŽā§‡ āĻāχ ā§ĢāϟāĻž āύāĻŋāϝāĻŧāĻŽ āĻ­āĻžāϞāĻĻ⧰⧇ āĻĒāĻĸāĻŧāĻ•āĨ¤ āĻāχāĻŦ⧋⧰⧇āχ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ āĻ…āĻ§ā§āϝāĻžāϝāĻŧā§° āφāϟāĻžāχāϤāĻ•ā§ˆ āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚ā§°ā§āĻŖ āύāĻŋāϝāĻŧāĻŽāĨ¤)

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