# 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

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**Related Concepts
**

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Linear Symmetry

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Point Symmetry

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Rotational Symmetry

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Order of Rotational Symmetry

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Types of Symmetry

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Reflection

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Reflection of a Betoken in 10-axis

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Reflection of a Point in y-axis

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Reflection of a point in origin

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Rotation

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90 Caste Clockwise Rotation

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xc Degree Anticlockwise Rotation

●

180 Degree Rotation

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## Name the Type of Symmetry for the Figure

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