Question

What is a quadrilateral with no right angles?

Answer 1

Hint: We first discuss the definition of quadrilateral and then we find the classifications of quadrilaterals. We find the particular forms which have angles equal to ${{90}^{\circ }}$. We also find the figures which can’t have angles as ${{90}^{\circ }}$.

Complete step-by-step answer:
First, we try to understand the concept of a quadrilateral. It represents the two-dimensional figure which has 4 sides. No other condition about the sides’ length or angle measurement is required to represent a quadrilateral.

Now based on the sides’ length or angle measurement, we can classify the quadrilaterals in many parts. There are squares, rectangles, parallelograms etc.
Now we try to find out the types of particular figures which have right angles. There can be any basic quadrilateral with an angle being equal to ${{90}^{\circ }}$.
There are specific quadrilaterals like squares, rectangles who have all angles being equal to ${{90}^{\circ }}$.
We have also rhombus which have all four sides equal and they have one angle being equal to ${{90}^{\circ }}$, then all of the angles become ${{90}^{\circ }}$ due to the equality of the sides.
Therefore, the only possible choice for a quadrilateral with no right angles will be a rhombus that is not a square. These can be termed as non-square rhombus.

Note: Squares, rectangles and rhombus are all parts of a parallelogram. The main division of parallelograms is where the quadrilateral has equal or parallel opposite sides. Therefore, the specific figure of the square is also part of rhombus.