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:

Line Segment Symmetry

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

l
.



2. An bending:

An Angle Symmetry

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

3. An isosceles triangle:

An Isosceles Triangle Line Symmetry

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:

Semi-circle Line Symmetry

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:

Kite Line Symmetry

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

6. Isosceles trapezium:

Isosceles Trapezium Line Symmetry

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:

Rectangle Line Symmetry

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:

Rhombus Line Symmetry

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:

Equilateral Triangle Line Symmetry

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

ten. Square:

Square Line Symmetry

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

11. Circle:

Circle Line Symmetry

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.

Letters having One Line of Symmetry

Letter having both horizontal and vertical lines of symmetry:

H I Ten have two lines of symmetry.

Letter having 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.

Letter having No Line 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.

Letters having Infinite Lines of Symmetry

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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