# Name the Type of Symmetry for the Figure

Name the Type of Symmetry for the Figure.

## Lines of Symmetry

Learn near lines of symmetry in dissimilar geometrical shapes.

It is non necessary that all the figures possess a line or lines of symmetry in different figures.

Figures may take:

No line of symmetry

i, 2, 3, 4 …… lines of symmetry

Space lines of symmetry

Let us consider a list of examples and find out lines of symmetry in different figures:

ane. Line segment:

In the effigy there is 1 line of symmetry. The effigy is symmetric along the perpendicular bisector

l
.

2. An bending:

In the effigy at that place is i line of symmetry. The effigy is symmetric along the angle bisector OC.

3. An isosceles triangle:

In the figure there is ane line of symmetry. The figure is symmetric along the bisector of the vertical angle. The median Forty.

four. Semi-circle:

In the effigy in that location is one line of symmetry. The figure is symmetric along the perpendicular bisector l. of the diameter XY.

5. Kite:

In the figure at that place is one line of symmetry. The figure is symmetric along the diagonal QS.

6. Isosceles trapezium:

In the figure there is one line of symmetry. The effigy is symmetric along the line

l

joining the midpoints of two parallel sides AB and DC.

vii. Rectangle:

In the figure there are two lines of symmetry. The figure is symmetric forth the lines

l

and

k

joining the midpoints of opposite sides.

viii. Rhomb:

In the figure in that location are two lines of symmetry. The figure is symmetric along the diagonals AC and BD of the figure.

ix. Equilateral triangle:

In the figure there are three lines of symmetry. The figure is symmetric along the 3 medians PU, QT and RS.

ten. Square:

In the figure there are iv lines of symmetry. The figure is symmetric along the 2diagonals and two midpoints of opposite sides.

11. Circle:

In the figure there are infinite lines of symmetry. The figure is symmetric along all the diameters.

Notation:

Each regular polygon (equilateral triangle, square, rhombus, regular pentagon, regular hexagon etc.) are symmetry.

The number of lines of symmetry in a regular polygon is equal to the number of sides a regular polygon has.

Some figures like scalene triangle and parallelogram take no lines of symmetry.

Lines of symmetry in messages of the English alphabet:

Messages having one line of symmetry:

A B C D East K M T U V W Y have i line of symmetry.

A M T U 5 Due west Y have vertical line of symmetry.

B C D E K accept horizontal line of symmetry.

Letter having both horizontal and vertical lines of symmetry:

H I Ten have two lines of symmetry.

Letter of the alphabet having no lines of symmetry:

F Thousand J L Due north P Q R S Z have neither horizontal nor vertical lines of symmetry.

Letters having infinite lines of symmetry:

O has infinite lines of symmetry. Infinite number of lines passes through the point symmetry well-nigh the heart O with all possible diameters.

Lines of Symmetry

Related Concepts

Linear Symmetry

Point Symmetry

Rotational Symmetry

Order of Rotational Symmetry

Types of Symmetry

Reflection

Reflection of a Betoken in 10-axis

Reflection of a Point in y-axis

Reflection of a point in origin

Rotation

90 Caste Clockwise Rotation

xc Degree Anticlockwise Rotation

180 Degree Rotation

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## Name the Type of Symmetry for the Figure

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