Statement 1: Regular polygons have finite lines of symmetry.
Statement 2: Circle has infinite lines of symmetry.
Statement 3: Circle is a polygon with infinite sides.
Statement 4: Circle is a regular polygon with infinite sides.
Which of the above statements is/are incorrect?
Statement 1: Regular polygons have finite lines of symmetry.
Statement 2: Circle has infinite lines of symmetry.
Statement 3: Circle is a polygon with infinite sides.
Statement 4: Circle is a regular polygon with infinite sides.
Which of the above statements is/are incorrect?
The correct options are
C 3
D 4
Circle is NOT a polygon. This is because it doesn’t have any straight sides. It is one of the biggest misconceptions that circle is a polygon. A polygon is defined as a closed figure having straight sides.
So, statements 3 and 4 are incorrect. But circle does have infinite lines of symmetry. This is because line of symmetry of a circle lies along its diameter and a circle has infinite diameters. And all regular polygons have finite lines of symmetry because they have finite number of sides.
C
3
D
4
Circle is NOT a polygon. This is because it doesn’t have any straight sides. It is one of the biggest misconceptions that circle is a polygon. A polygon is defined as a closed figure having straight sides.
So, statements 3 and 4 are incorrect. But circle does have infinite lines of symmetry. This is because line of symmetry of a circle lies along its diameter and a circle has infinite diameters. And all regular polygons have finite lines of symmetry because they have finite number of sides.
