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






1. Rhombus Sides and Angles | āϏāĻŽāϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻŦāĻžāĻšā§ āφ⧰⧁ āϕ⧋āĻŖāϏāĻŽā§‚āĻš


All four sides of a rhombus are equal, and opposite angles are equal. (āϏāĻŽāϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āϚāĻžā§°āĻŋāĻ“āϟāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻšāϝāĻŧ āφ⧰⧁ āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ:
AB = BC = CD = DA
∠A = ∠C, ∠B = ∠D


2. Rhombus Diagonals | āϏāĻŽāϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ•ā§°ā§āĻŖāϏāĻŽā§‚āĻš

The diagonals of a rhombus are perpendicular and bisect the opposite angles. (āϏāĻŽāϚāĻ¤ā§ā§°ā§āϭ⧁āϜ⧰ āĻ•ā§°ā§āĻŖāĻĻ⧁āϟāĻž āĻĒā§°āĻ¸ā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°) āĻšāϝāĻŧ āφ⧰⧁ āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻšāĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AC ⟂ BD
Diagonals bisect opposite angles. | āĻ•ā§°ā§āϪ⧇ āĻŦāĻŋāĻĒā§°ā§€āϤ āϕ⧋āĻŖāϏāĻŽā§‚āĻšāĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤


3. Kite Sides | āϘ⧁āĻĄāĻŧāĻŋā§° āĻŦāĻžāĻšā§āϏāĻŽā§‚āĻš

A kite has two pairs of equal adjacent sides. (āĻāϟāĻž āϘ⧁āĻĄāĻŧāĻŋāϤ āĻ•āĻžāώ⧰⧀āϝāĻŧāĻž āĻĻ⧁āĻœā§‹ā§° āϏāĻŽāĻžāύ āĻŦāĻžāĻšā§ āĻĨāĻžāϕ⧇āĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AB = AD, CB = CD


4. Kite Diagonals | āϘ⧁āĻĄāĻŧāĻŋā§° āĻ•ā§°ā§āĻŖāϏāĻŽā§‚āĻš

The diagonals of a kite are perpendicular, and one diagonal bisects the other. (āϘ⧁āĻĄāĻŧāĻŋā§° āĻ•ā§°ā§āĻŖāĻĻ⧁āϟāĻž āĻĒā§°āĻ¸ā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°) āĻšāϝāĻŧ āφ⧰⧁ āĻāϟāĻž āĻ•ā§°ā§āĻŖāχ āφāύāĻŸā§‹ āĻ•ā§°ā§āĻŖāĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤)


Rule | āύāĻŋāϝāĻŧāĻŽ: AC ⟂ BD
One diagonal bisects the other. | āĻāϟāĻž āĻ•ā§°ā§āĻŖāχ āφāύāĻŸā§‹ āĻ•ā§°ā§āĻŖāĻ• āϏāĻŽāĻĻā§āĻŦāĻŋāĻ–āĻŖā§āĻĄāĻŋāϤ āϕ⧰⧇āĨ¤


5. Isosceles Trapezium | āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻŸā§ā§°ā§‡āĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽ

An isosceles trapezium has : āĻāϟāĻž āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻŸā§ā§°ā§‡āĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽāϤ āĻĨāĻžāϕ⧇ -



  • One pair of parallel sides (āĻāϝ⧋⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻŦāĻžāĻšā§)

  • Equal non-parallel sides (āĻ…āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻŦāĻžāĻšā§āĻĻ⧁āϟāĻž āϏāĻŽāĻžāύ)

  • Equal base angles (āĻ­āĻŋāĻ¤ā§āϤāĻŋāϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ)

  • Equal diagonals (āĻ•ā§°ā§āĻŖāĻĻ⧁āϟāĻž āϏāĻŽāĻžāύ)


Note: Check the side marks, parallel arrows, and diagonal properties carefully to identify the correct quadrilateral. (āϏāĻ āĻŋāĻ• āϚāĻ¤ā§ā§°ā§āϭ⧁āϜ āϚāĻŋāύāĻžāĻ•ā§āϤ āϕ⧰āĻŋāĻŦāϞ⧈ āĻŦāĻžāĻšā§ā§° āϚāĻŋāĻšā§āύ, āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ⧰ āĻ•āĻžāρāĻĄāĻŧ (→âˆĨ), āφ⧰⧁ āĻ•ā§°ā§āĻŖā§° āĻŦ⧈āĻļāĻŋāĻˇā§āĻŸā§āϝ āĻ­āĻžāϞāĻĻ⧰⧇ āϞāĻ•ā§āĻˇā§āϝ āϕ⧰āĻ•āĨ¤)









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