LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

PROPERTY OF RECTANGLE

__RECTANGLE –__

**A parallelogram is called Rectangle if one of its angles is a right angle. In the above figure, you can find, ABCD is a parallelogram in which ∠A = 90⁰. Thus ABCD is a rectangle and this is for your information, a rectangle has all the properties of a parallelogram. In addition, it has the following special properties which can separate rectangles from others to get recognize. **

__Property.1)__ All the interior angles of a rectangle are right angles.

**In the figure we can observe, AB || DC => ∠A + ∠D = 180⁰, but ∠A = 90⁰, so ∠D = 90⁰**

**Also the opposite angles are equal. So, ∠C = ∠A = 90⁰ and ∠B = ∠D = 90⁰, so we can conclude that ∠A = ∠B = ∠C = ∠D = 90⁰.**

__Property.2)__ The diagonals of a rectangle are equal in length.

**In the figure above, ∆ ABC ≅ ∆ BAD, because AB = BA, **

** ∠ADC = ∠BAD (=90⁰) and BC = AD**

**So, diagonal AC = diagonal BD**