Question

Can a rectangle be rhombus?

Answer 1

Hint: This question is from the topic of geometry. In this question, we will first know about the properties of rectangles. After that, we will get to know about the properties of rhombus. After that, we will understand that the rectangle can be rhombus.

Complete step-by-step solution:
Let us solve this question.
In this question, we have asked if a rectangle can be rhombus.
Let us first know about the properties of rectangles.
1) A rectangle is a quadrilateral.
2) The opposite sides are parallel and equal to each other.
3) Each interior angle is 90 degrees.
4) The diagonals bisect each other.
We can take reference for the rectangle from the following figure:

Now, let us know about the properties of rhombus.
1) A rhombus is a quadrilateral.
2) Opposite angles are equal.
3) Opposite sides are parallel and equal to each other. All sides are equal.
4) Diagonals bisect each other perpendicularly.
We can take reference for the rhombus from the following figure:

From the above points, we can say that the rectangle is a parallelogram whose all interior angles are 90 degrees. And, a rhombus is also a parallelogram whose all sides are equal and diagonals bisect each other at 90 degrees.
For a rectangle to be rhombus, it must have all sides of equal distance.
We can say that if a rectangle has all 4 sides equal, then it will be a square.
We can also say that if a rhombus has an interior angle of 90 degrees, then it will be a square.
Hence, the conclusion will be that a rectangle can be rhombus if it is a square.

Note: We should have a better knowledge in the topic of geometry to solve this type of question easily. We should know about the properties of rectangles. And, also we should know about the properties of rhombus, because the properties help us a lot in solving this type of question.