Quadrilateral Basics | āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŽā§ŒāϞāĻŋāĻ• āϧāĻžā§°āĻŖāĻž


1.Interior Angle Sum | 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¤)


Formula | āϏ⧂āĻ¤ā§ā§°: ∠A + ∠B + ∠C + ∠D = 360°


2. Missing Fourth Angle | āϚāĻ¤ā§ā§°ā§āĻĨ āϕ⧋āĻŖ āύāĻŋā§°ā§āĻŖāϝāĻŧ


Find the missing angle by subtracting the sum of the other three angles from 360°. (āĻ…āĻœā§āĻžāĻžāϤ āϚāĻ¤ā§ā§°ā§āĻĨ āϕ⧋āĻŖ āωāϞāĻŋāϝāĻŧāĻžāĻŦāϞ⧈ āĻŦāĻžāϕ⧀ āϤāĻŋāύāĻŋāϟāĻž āϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ ā§Šā§Ŧā§Ļ°-ā§° āĻĒā§°āĻž āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻ•āĨ¤)


Formula | āϏ⧂āĻ¤ā§ā§°: ∠D = 360° − (∠A + ∠B + ∠C)


3. Exterior Angle Sum | āĻŦāĻšāĻŋāσāϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ


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


Formula | āϏ⧂āĻ¤ā§ā§°: e₁ + e₂ + e₃ + e₄ = 360°


4. Number of Diagonals | āĻ•ā§°ā§āĻŖā§° āϏāĻ‚āĻ–ā§āϝāĻž


A quadrilateral has 2 diagonals – AC and BD. (āĻāϟāĻž āϚāĻ¤ā§ā§°ā§āϭ⧁āϜāϤ ⧍āϟāĻž āĻ•ā§°ā§āĻŖ āĻĨāĻžāϕ⧇ – AC āφ⧰⧁ BDāĨ¤)


5. A Diagonal Forms Two Triangles | āĻāϟāĻž āĻ•ā§°ā§āĻŖāχ āĻĻ⧁āϟāĻž āĻ¤ā§ā§°āĻŋāϭ⧁āϜ āĻ—āĻ āύ āϕ⧰⧇


One diagonal divides a quadrilateral into 2 triangles. (āĻāϟāĻž āĻ•ā§°ā§āϪ⧇ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜāĻ• ⧍āϟāĻž āĻ¤ā§ā§°āĻŋāϭ⧁āϜāϤ āĻŦāĻŋāĻ­āĻ•ā§āϤ āϕ⧰⧇āĨ¤)


Note: Every quadrilateral has 4 sides, 4 angles, 2 diagonals, and the sum of its interior angles is 360°. āĻĒā§ā§°āϤāĻŋāĻŸā§‹ āϚāĻ¤ā§ā§°ā§āϭ⧁āϜāϤ ā§ĒāϟāĻž āĻŦāĻžāĻšā§, ā§ĒāϟāĻž āϕ⧋āĻŖ āφ⧰⧁ ⧍āϟāĻž āĻ•ā§°ā§āĻŖ āĻĨāĻžāϕ⧇āĨ¤ āχāϝāĻŧāĻžā§° āĻ…āĻ¨ā§āϤāσāϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ ā§Šā§Ŧā§Ļ°āĨ¤



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

  • Rectangle & Square | āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§ā§° āφ⧰⧁ āĻŦā§°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§ā§° : Click Here

  • Rhombus, Kite & Trapezium | āϏāĻŽāϚāĻ¤ā§ā§°ā§āϭ⧁āϜ, āϘ⧁āĻĄāĻŧāĻŋ āφ⧰⧁ āĻŸā§ā§°ā§‡āĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽ : View Paper

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