Table of Contents

Last modified on August 3rd, 2023

chapter outline


Point Symmetry

Point symmetry in a shape occurs when there is a central point on an object such that:

  1. The central point divides the shape into two parts or sides, Part 1 and Part 2
  1. Every point on Part 1 must have a matching point on Part 2 equidistant from the central point
  2. Part 1 and Part 2 must be in opposite directions
Point Symmetry

Point Symmetry is also called Origin Symmetrysince the ‘Origin’ is the central point about which the shape is symmetrical.

Thus, when we rotate a figure about 180° and it regains its originals shape, only then we say that point symmetry exists in the figure.

Solved Examples

Does a regular pentagon has point symmetry?


Thus, a regular pentagon has one point of symmetry.

Which of the given figures has a point symmetry?


Fig -3 has point symmetry since all the parts in part 1 and part 2 figure are in opposite position with respect to each other ans also they are at equal distance from the central point.

State if the given alphabet has a point of symmetry.


No. The given alphabet does not have a point of symmetry as the two ‘P’s are not at equal distance from the central point.

Last modified on August 3rd, 2023

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