1. Rhombus Sides and Angles | āϏāĻŽāĻāϤā§ā§°ā§āĻā§āĻā§° āĻŦāĻžāĻšā§ āĻā§°ā§ āĻā§āĻŖāϏāĻŽā§āĻš
All four sides of a rhombus are equal, and opposite angles are equal. (āϏāĻŽāĻāϤā§ā§°ā§āĻā§āĻā§° āĻāĻžā§°āĻŋāĻāĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻšāϝāĻŧ āĻā§°ā§ āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ:
AB = BC = CD = DA
∠A = ∠C, ∠B = ∠D
2. Rhombus Diagonals | āϏāĻŽāĻāϤā§ā§°ā§āĻā§āĻā§° āĻā§°ā§āĻŖāϏāĻŽā§āĻš
The diagonals of a rhombus are perpendicular and bisect the opposite angles. (āϏāĻŽāĻāϤā§ā§°ā§āĻā§āĻā§° āĻā§°ā§āĻŖāĻĻā§āĻāĻž āĻĒā§°āϏā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°) āĻšāϝāĻŧ āĻā§°ā§ āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻšāĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AC â BD
Diagonals bisect opposite angles. | āĻā§°ā§āĻŖā§ āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖāϏāĻŽā§āĻšāĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤
3. Kite Sides | āĻā§āĻĄāĻŧāĻŋā§° āĻŦāĻžāĻšā§āϏāĻŽā§āĻš
A kite has two pairs of equal adjacent sides. (āĻāĻāĻž āĻā§āĻĄāĻŧāĻŋāϤ āĻāĻžāώ⧰ā§āϝāĻŧāĻž āĻĻā§āĻā§ā§° āϏāĻŽāĻžāύ āĻŦāĻžāĻšā§ āĻĨāĻžāĻā§āĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AB = AD, CB = CD
4. Kite Diagonals | āĻā§āĻĄāĻŧāĻŋā§° āĻā§°ā§āĻŖāϏāĻŽā§āĻš
The diagonals of a kite are perpendicular, and one diagonal bisects the other. (āĻā§āĻĄāĻŧāĻŋā§° āĻā§°ā§āĻŖāĻĻā§āĻāĻž āĻĒā§°āϏā§āĻĒā§° āϞāĻŽā§āĻŦ (⧝ā§Ļ°) āĻšāϝāĻŧ āĻā§°ā§ āĻāĻāĻž āĻā§°ā§āĻŖāĻ āĻāύāĻā§ āĻā§°ā§āĻŖāĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤)
Rule | āύāĻŋāϝāĻŧāĻŽ: AC â BD
One diagonal bisects the other. | āĻāĻāĻž āĻā§°ā§āĻŖāĻ āĻāύāĻā§ āĻā§°ā§āĻŖāĻ āϏāĻŽāĻĻā§āĻŦāĻŋāĻāĻŖā§āĻĄāĻŋāϤ āĻā§°ā§āĨ¤
5. Isosceles Trapezium | āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻā§ā§°ā§āĻĒāĻŋāĻāĻŋāϝāĻŧāĻžāĻŽ
An isosceles trapezium has : āĻāĻāĻž āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻā§ā§°ā§āĻĒāĻŋāĻāĻŋāϝāĻŧāĻžāĻŽāϤ āĻĨāĻžāĻā§ -
- One pair of parallel sides (āĻāϝā§ā§° āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻŦāĻžāĻšā§)
- Equal non-parallel sides (āĻ
āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻŦāĻžāĻšā§āĻĻā§āĻāĻž āϏāĻŽāĻžāύ)
- Equal base angles (āĻāĻŋāϤā§āϤāĻŋāĻā§āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύ)
- Equal diagonals (āĻā§°ā§āĻŖāĻĻā§āĻāĻž āϏāĻŽāĻžāύ)
Note: Check the side marks, parallel arrows, and diagonal properties carefully to identify the correct quadrilateral. (āϏāĻ āĻŋāĻ āĻāϤā§ā§°ā§āĻā§āĻ āĻāĻŋāύāĻžāĻā§āϤ āĻā§°āĻŋāĻŦāϞ⧠āĻŦāĻžāĻšā§ā§° āĻāĻŋāĻšā§āύ, āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ⧰ āĻāĻžāĻāĻĄāĻŧ (→âĨ), āĻā§°ā§ āĻā§°ā§āĻŖā§° āĻŦā§āĻļāĻŋāώā§āĻā§āϝ āĻāĻžāϞāĻĻā§°ā§ āϞāĻā§āώā§āϝ āĻā§°āĻāĨ¤)