Question

What is a rhombus with right angles?

Answer 1

Hint: We will be discussing the definition of rhombus and its properties firstly. Then we will be discussing another quadrilateral that is almost similar to rhombus. And finally, we will be comparing their properties.

Complete step-by-step answer:
In this question, we are given a quadrilateral “Rhombus”, and we are asked if the angles of the rhombus are made at right angles, what will be the new quadrilateral.
So, first of all let us see the definition of rhombus and its properties and then find a quadrilateral similar to rhombus.
Rhombus is a type of a parallelogram with 4 sides and 2 pairs of parallel sides and equal opposite angles.
The properties of a rhombus are:
 $ \to $ All sides are equal.
 $ \to $ Opposite sides are parallel.
 $ \to $ Opposite angles are equal.
 $ \to $ Diagonals bisect each other perpendicularly.
 $ \to $ One pair of opposite angles is obtuse and one pair of opposite angles is acute.

Observe the properties closely and keep in mind the last property.
Now, we have another quadrilateral that is mostly similar to rhombus.
Square: Square is a quadrilateral with 4 sides equal to each other.
Properties of square:
 $ \to $ All sides are equal.
 $ \to $ Opposite angles are equal.
 $ \to $ Opposite sides are parallel.
 $ \to $ Diagonals bisect each other perpendicularly.
 $ \to $ All the angles are right angles.

So, now we have seen the properties of rhombus and square.
Note that if we make all the angles right angles in rhombus, all the properties will be matching with squares.
Hence, we can conclude that if we make rhombus right angles, the rhombus will become a square.

Note: Do not confuse a rhombus with a square. As a square has all the properties of a rhombus, a square is always a rhombus. But a rhombus does not have all the properties of a square. So, not all rhombuses are a square.