Question

State ‘true’ or ‘false’. Every parallelogram is a rhombus.

Answer 1

Hint:To attempt this question one must analyze the properties of a parallelogram then analyze the similarities between the properties of the parallelogram and rhombus, use the information to approach the solution.

Complete step-by-step solution:
Before approaching the solution let discuss the parallelogram and rhombus
We know that parallelogram is a quadrilateral which has equal and parallels opposite sides
To explain the parallelogram let’s use the diagram of the parallelogram

Here AB is equal to CD and AD is equal to BC i.e. AB = CD and AD = BC
Also, AB is parallel to CD and AC is parallel to BC
Rhombus is defined as the quadrilateral which has all sides equal to each other
To explain the rhombus let draw the diagram of the rhombus

Here AB, BC, CD, and DA all sides are equal to each other
Also, AB is parallel to DC and AD is parallel to BC
So, by the above discussion, we can say that in parallelogram only two sides are equal to each other whereas in the case of rhombus all sides are equal to each other.
Therefore, not every parallelogram is a rhombus.

Note: Remember that whenever you get these types of questions the key concept to answer is to learn the properties and structure of different quadrilateral shapes such as rectangle, square, trapezium, and parallelogram where every quadrilateral shapes are two-dimensional shapes.