6th Class Mathematics Symmetry

Symmetry

Category : 6th Class

 Symmetry

 

 

 

 

  • A figure has a line symmetry if a line can be drawn dividing the figure into two identical parts. The line is called a line of symmetry.

 

  • A line segment is symmetrical at its perpendicular bisector.

 

  • A figure may have no line of symmetry, only one line of symmetry, two lines of symmetry or multiple lines of symmetry.

 

Figure

Number of lines of symmetry

Angle  

1

Scalene triangle

0

Isosceles triangle 

1

Equilateral triangle

3

Parallelogram

0

Rhombus

2

Isosceles trapezium 

1

Circle

Infinitely Many

Semicircle

1

Regular pentagon

5

Regular hexagon

6

 

  • A line symmetry is closely related to mirror reflection. When dealing with mirror reflection, we have to take into account the left right changes in orientation.

 

  • A figure may have a vertical or a horizontal line of symmetry.

 

  • Of the digits 0 to 9, only 1, 3 and 8 have a horizontal line of symmetry, 8 has vertical line of symmetry also.

 

  • Alphabets of English, A to...... Z have different lines of symmetry.

(i) The letter of the English alphabet with no line symmetry are F, G, J, L, N, P, Q, R, S and Z.

(ii) The letters A, M, T, U, V, W and Y have only vertical line of symmetry.

(iii) The letters B, C, D, E, and K have only horizontal line of symmetry.

(iv) The letters H, I and X have both vertical and horizontal lines of symmetry.

 

Other Topics

Notes - Symmetry
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