Question

State ‘true’ or ‘false’.
Every Rhombus is a parallelogram.
(a) True
(b) False

Answer 1

Hint: We should know the definition and some theory part of rhombus and Parallelogram. Also, by drawing a figure from the theory we can come to know whether Every Rhombus is a parallelogram is correct or not.

Complete step-by-step answer:
Here, we should know the proper definition of parallelogram and Rhombus.
Rhombus: It is a flat shaped quadrilateral which has four sides of equal length. The opposite sides of a rhombus are parallel to each other which are congruent to each other. Diagram is as shown below:

The diagonals bisect each other at $90{}^{\circ }$ . In Rhombus, opposite angles are equal i.e. $\mathrm{\angle }K=\mathrm{\angle }N$ and $\mathrm{\angle }L=\mathrm{\angle }M$ . Also, all sides are equal denoted as $KM=MN=LN=KL$ .
Parallelogram: It is also a flat shaped figure which four sides out of which opposite sides are equal in length and opposite angles are of same measure. Diagram is as shown below:
 

Also, also $\mathrm{\angle }K=\mathrm{\angle }N$ and $\mathrm{\angle }L=\mathrm{\angle }M$ are equal also, sides $KL=MN$ and $KM=LN$ .
Further there are three special types of parallelogram i.e. (1) Rhombus (2) Rectangle (3) Square
Thus, from this theory and as seen in the diagram of both parallelogram and Rhombus we can say that sides $KL=MN$ and $KM=LN$ satisfies the requirement of a parallelogram.
Thus, Every Rhombus is a parallelogram but vice versa is not true.
Hence, (a) option is the correct answer.

Note: Remember that both the shape i.e. rhombus and parallelogram is almost the same except the difference is in measurement of sides. Do not mix this concept as every parallelogram is Rhombus because in parallelogram only opposite sides are equal, so this does not fulfil the requirement of rhombus as all sides are equal in measure. Thus, it will result in a wrong answer. So, do not make this mistake.