Answer
Verified
277.2k+ views
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.
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.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE