Question

Which of the following has all the properties of a parallelogram and also that of a kite?
A.Square
B.Rhombus
C.Rectangle
D.None of these

Answer 1

Hint: In the above question we have been given different types of quadrilateral but we have to choose the one of them that has the property of a parallelogram and also has the property of a kite. So we will first try to understand the properties of parallelogram and kite and then after that, we will choose our answer.

Complete answer:
Let us try to understand the parallelogram first:
As we know that a parallelogram is a quadrilateral with two pairs of parallel sides. The diagrammatic representation of parallelogram is as follows:

We know that the properties of a parallelogram are that two opposite sides are parallel and equal and the opposite angles are also equal in a parallelogram.
Now we will try to understand the definition of the kite and its properties:
A kite is a quadrilateral that has $2$ pairs of equal-length sides and these sides are adjacent to each other.
We can represent the kite from the figure as below:

The properties of a kite are as follows:
We know that the diagonals of a kite meet at a right angle i.e. $90^\circ $ .
We should also know that one of the diagonal bisects the other diagonal i.e. it cuts in equal half.
Now we know that from the above-given options, an only rhombus has the properties of a parallelogram and that of a kite. The diagonals of the rhombus bisect each other at a right angle and their opposite sides are parallel and equal.

Hence the correct option is (B) Rhombus

Note:
We should note that in a square all the sides are equal, so it does not fill the properties of a parallelogram , while in a triangle the diagonals do not bisect each other at $90^\circ $, so these two options are incorrect.
We can draw the image of the rhombus which is as follows: