Line Symmetry

Line symmetry is discussed here. We know that any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical and the line which divides the shape in two equal halves is called the line of symmetry. A shape can have many lines of symmetry.


Let us follow some of the pictures or figures given below.

(i) Examples of vertical lines of symmetry:

Vertical Lines of Symmetry

Vertical Lines of Symmetry

(ii) Examples of horizontal lines of symmetry:

Horizontal Lines of Symmetry

Horizontal Lines of Symmetry

Each is divided by a straight line. Both the parts are equal in all respects. When the pictures or figures are folded along the straight lines, one part will fit or cover the other part exactly. 


Such pictures or figures of which either of the two parts made by a straight line, covers the other part exactly when folded along this line, are called symmetrical figures. The straight lines are called the lines of symmetry of the respective figures. In the above pictures or figures the lines of symmetry are both horizontal and vertical.

Horizontal and Vertical Lines of Symmetry


In the above figure the straight lines shown are not lines of symmetry.

Let us consider some of the symmetrical figures which have been folded along the lines of symmetry: 

(i)

Symmetrical Figures


(ii)

Examples of Symmetrical Figures

These are the basic and main points to understand line symmetry.


Questions and Answers on Line Symmetry:

1. Choose the right answer.

(i) The number of lines of symmetry in a regular pentagon are:

(a) 3

(b) 4

(c) 5

(d) 6


(ii) The number of lines of symmetry in an isosceles triangle:

(a) 1

(b) 2

(c) 3

(d) 4


Answer: 

(i) (c)

(ii) (c)

Related Concepts on Geometry - Simple Shapes & Circle

Simple Closed Curves

Polygon

Different Types of Polygons

Angle

Triangle

Quadrilateral

Circle Math

Line Symmetry

Symmetrical Shapes






4th Grade Math Activities

From Line Symmetry to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Method of L.C.M. | Finding L.C.M. | Smallest Common Multiple | Common

    Apr 15, 24 01:29 AM

    LCM of 24 and 30
    We will discuss here about the method of l.c.m. (least common multiple). Let us consider the numbers 8, 12 and 16. Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......

    Read More

  2. Common Multiples | How to Find Common Multiples of Two Numbers?

    Apr 15, 24 01:13 AM

    Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers. Consider the following. (i) Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24…

    Read More

  3. Least Common Multiple |Lowest Common Multiple|Smallest Common Multiple

    Apr 14, 24 03:06 PM

    Lowest Common Multiple
    The least common multiple (L.C.M.) of two or more numbers is the smallest number which can be exactly divided by each of the given number. The lowest common multiple or LCM of two or more numbers is t…

    Read More

  4. Worksheet on H.C.F. | Word Problems on H.C.F. | H.C.F. Worksheet | Ans

    Apr 14, 24 02:23 PM

    HCF Using Venn Diagram
    Practice the questions given in the worksheet on hcf (highest common factor) by factorization method, prime factorization method and division method. Find the common factors of the following numbers…

    Read More

  5. Common Factors | Find the Common Factor | Worksheet | Answer

    Apr 14, 24 02:01 PM

    Common Factors of 24 and 36
    Common factors of two or more numbers are a number which divides each of the given numbers exactly. For examples 1. Find the common factor of 6 and 8. Factor of 6 = 1, 2, 3 and 6. Factor

    Read More