Question

Explain how a square is: a parallelogram

Answer 1

Hint: As we know that, in square all sides are equal in length and each angle is equal to ${90^o}$. The diagonals are equal and bisect each other.


Complete step by step solution:

(i) Properties of parallelogram:
(a) A parallelogram has both pairs of opposite sides are equal in length and parallel.
(b) Diagonal bisect each other.
Properties of square:
(a) A square has both pairs of opposite sides are equal in length and parallel
(b) Diagonal bisect each other at ${90^o}$.
$\therefore $Square is also a parallelogram.
Additional Information: Some more properties of parallelogram and square are:
Properties of parallelogram
1. Consecutive angles are supplementary
2. Each diagonal of parallelogram separates it into two congruent triangle
Properties of square:
1. The two diagonals of square are equal to each other
2. The diagonal of the square divides it into two similar isosceles triangles.
3. The length of diagonals is greater than the sides of the square.


Note: As we know that, a quadrilateral is a $4$ sided \[2 - \]dimensional figure whose sum of internal angles is ${360^o}$.