EducatorSharmin

Area of Parallelogram:   A quadrilateral having two pairs of parallel sides is called a parallelogram. In a parallelogram, * Opposite sides are equal in length * Opposite angles are equal. * All parallelograms are rectangles. A parallelogram is a quadrilateral with the opposite sides parallel and equal to each other. The angles of a parallelogram need not be equal to 90⁰. All rectangles are parallelograms but all parallelograms are not rectangles. In parallelogram ABCD, AB = DC,  AD = BC and AB ⏸DC. AD ॥ BC. None of the angles are equal to 90⁰. However, notice that ∠DAB = ∠BCD  and ∠ABC = ∠ADC, or the opposite angles of a parallelogram are equal to each other. Theorem: The opposite sides of a parallelogram are equal; the opposite angles are equal; and a diagonal bisects the parallelogram. Given : A parallelogram ABCD. Construction: Join BD. To prove: i) AD = CB  and  DC = AB.                 ii)   = Ĉ   and...