Question

What is the name of a polygon that has twice as many sides as a quadrilateral?

Answer 1

Hint: A polygon is a simple closed curve and can be defined as a two- dimensional figure which is bounded with three or more than three straight lines. A quadrilateral is a polygon which is simply a two- dimensional geometrical figure consisting of four sides. Here we have to find a polygon which has twice the sides of a quadrilateral.

Complete step-by-step answer:
A quadrilateral is a polygon which is simply a two- dimensional geometrical figure consisting of four sides. It is derived from two words i.e., quad \[ = \] four and lateral $ = $side. A quadrilateral is a closed, flat shape in which the lines connect and have straight sides.
There are various special kinds of quadrilateral such as parallelogram, rectangle, square, rhombus and trapezoid.
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel to one another.
A rectangle is one form of parallelogram since it has four sides and both pairs of opposite sides are parallel to one another.
A square is a two- dimensional, closed geometric object consisting of four equal sides and all angles are at right angles and are $90^\circ $ each.
A rhombus is a parallelogram with four sides in congruence to each other. It is also known as rhombi in its plural sense.
A trapezoid is a unique kind of a quadrilateral that has exactly one pair of parallel sides.
So, a quadrilateral is a polygon with $4$ sides.
The number of sides twice as many as quadrilateral $ = 2 \times 4 = 8$
So, we have to name a polygon with $8$ sides.
So, the name of the polygon with $8$ sides will be Octagon.
Octagon is derived from the Latin word octo which means “eight” and the shortened Latin word for an “angle”.
Hence, the name of the polygon with $8$ sides is Octagon.

Note: A rectangle is one form of the parallelogram only since it has four right angles, thus all rectangles are also parallelograms and quadrilaterals. On the contrary, not all parallelograms and quadrilaterals are rectangles. Similarly, a square can be described as a rhombus which is also a rectangle specifically, a parallelogram with four congruent sides and four right angles.