Hint: Here in this question, we have to check whether the equilateral triangle is a quadrilateral. So, to provide a logical answer to the given maths theoretical problem, we will first list some of the properties of both the shapes. If all the properties of both the shapes are exactly the same, then an equilateral triangle can be a quadrilateral. If they are different, then both shapes are different.
Complete answer:
In geometry, a triangle is a three - sided polygon that closes in a space; sometimes triangles are also called a “trigon” (but not very commonly). It’s formed by lines, line segments or rays (in any combination) to form the three sides, when three sides form and meet, they create three vertices or corners.
An equilateral triangle is a type of triangle with all three sides of equal length and corresponding vertices of equal angle which is also known as a "regular" triangle.
A quadrilateral is a plane-closed figure that has four sides or edges and also has four corners or vertices. Quadrilaterals will typically be of some standard shapes with four sides like rectangle, square, trapezoid, and kite.
Now consider the given question: We have to check whether “Is an equilateral triangle a quadrilateral”.
By the property of a triangle, it has three sides and three angles also known as trigon, the root word “tri” means “three”.Quadrilaterals have four sides and four angles, the root word “quad” means “four”.Hence, a triangle will never be a quadrilateral, because they do not share traits and the properties.
Therefore, an equilateral triangle is not a quadrilateral.
Note: For this type question, we must know about the polygons and their properties. Remember, the polygon starts with minimum three sides up to the infinity sides and it always should be closed. Each polygon has a different number of sides or edges and is named the polygon equivalent to their number of sides.
