Question

All rectangles are parallelograms, but all parallelograms are not rectangles. Justify these statements.

Answer 1

Hint – In order to solve this problem we need to know that rectangle have four sides in which opposites sides must be equal and all the angles are right angle on the other hand parallelogram is also a quadrilateral with opposites sides equal at the same time parallel but its not compulsory that each angle in it must be right angle.

Complete step-by-step answer:
A rectangle can be drawn as :-

A 4 - sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: A square is a special type of rectangle.
A parallelogram can be drawn as :-

These all above drawn shapes are of parallelogram. A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal.
On observing the above diagrams and definitions of rectangle and parallelogram we can clearly say that all rectangles are parallelograms but all parallelograms are not rectangles. This statement is very true.

Note – In this problem you just need to know the properties of parallelograms and rectangles. Rectangle must have all the angles of 90 degrees with opposite sides equal. If adjacent sides are equal and opposite sides are also equal then it is also a rectangle and parallelogram but in parallelogram opposite sides are equal and it is not compulsory that all the angles must be of 90 degrees it may be or may be not. Knowing this will solve your problem.