1. Quadrilateral Angle Sum | āĻāϤā§ā§°ā§āĻā§āĻā§° āĻ
āύā§āϤāĻāĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ
The sum of the four interior angles of a quadrilateral is 360°. (āĻāĻāĻž āĻāϤā§ā§°ā§āĻā§āĻā§° āĻāĻžā§°āĻŋāĻāĻž āĻ
āύā§āϤāĻāĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ā§Šā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: ∠A + ∠B + ∠C + ∠D = 360°
2. Parallelogram Opposite Sides | āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§
Opposite sides of a parallelogram are equal. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AB = CD, BC = AD
3. Parallelogram Diagonals | āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻā§°ā§āĻŖāϏāĻŽā§āĻš
The diagonals of a parallelogram bisect each other. (āϏāĻŽāĻžāύā§āϤ⧰ āĻāϤā§ā§°ā§āĻā§āĻā§° āĻā§°ā§āĻŖāĻĻā§āĻŦāϝāĻŧā§ āĻĒā§°āϏā§āĻĒā§°āĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AO = OC, BO = OD
4. Rectangle Diagonals | āĻāϝāĻŧāϤāĻā§āώā§āϤā§ā§°ā§° āĻā§°ā§āĻŖāϏāĻŽā§āĻš
The diagonals of a rectangle are equal. (āĻāϝāĻŧāϤāĻā§āώā§āϤā§ā§°ā§° āĻā§°ā§āĻŖāĻĻā§āĻāĻž āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AC = BD
5. Square Diagonals | āĻŦā§°ā§āĻāĻā§āώā§āϤā§ā§°ā§° āĻā§°ā§āĻŖāϏāĻŽā§āĻš
The diagonals of a square are : āĻŦā§°ā§āĻāĻā§āώā§āϤā§ā§°ā§° āĻā§°ā§āĻŖāĻĻā§āĻāĻž
- Equal : āϏāĻŽāĻžāύ
- Perpendicular (90°) : āĻĒā§°āϏā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°)
- Bisect each other :
- āĻĒā§°āϏā§āĻĒā§°āĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§
Rule | āύāĻŋāϝāĻŧāĻŽ: AC = BD, AC â BD, AO = OC, BO = OD
Note: Revise these five rules first. They are the most important properties of quadrilaterals. (āĻĒā§ā§°āĻĨāĻŽā§ āĻāĻ ā§ĢāĻāĻž āύāĻŋāϝāĻŧāĻŽ āĻāĻžāϞāĻĻā§°ā§ āĻĒāĻĸāĻŧāĻāĨ¤ āĻāĻāĻŦā§ā§°ā§āĻ āĻāϤā§ā§°ā§āĻā§āĻ āĻ
āϧā§āϝāĻžāϝāĻŧā§° āĻāĻāĻžāĻāϤāĻā§ āĻā§ā§°ā§āϤā§āĻŦāĻĒā§ā§°ā§āĻŖ āύāĻŋāϝāĻŧāĻŽāĨ¤)