Lines of Symmetry of Polygons

Q: Draw lines of symmetry for the following figures. Identify which of them have point symmetry. Is there any implication between lines of symmetry and point symmetry?

2 Lines of Symmetry 3 Lines of Symmetry 4 Lines of Symmetry 5 Lines of Symmetry 6 Lines of Symmery 8 Lines of Symmetry 7 Lines of SymmetryThe below figure has point symmetry.Yes, there is implication between lines of symmetry and point symmetry.

Q: How many of the alphabets have exactly \$1\$ line of symmetry?

A line of symmetry is a line that divides a figure into two corresponding parts, each of which is the mirror image of the other. Letter \$A\$,\$B\$,\$C\$,\$D\$,\$E\$,\$K\$,\$M\$, have exactly \$1\$ line of symmetry.

Q: Write all the capital letters of the English alphabets which have two lines of symmetry.

Letter H,I and X has two line of symmetry.

Q: How many lines of symmetry are in this isosceles triangle?

An isosceles triangle has one line of symmetry. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry.But the given triangle is not an equilateral triangle.An isosceles triangle is defined as a triangle with two sides of equal length. An equilateral triangle is defined as a triangle with three sides of equal length. Therefore, an equilateral triangle is also an isosceles triangle. This triangle has 2 sides of equal length. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex.So option A is the correct answer.

Q: Which of the following alphabet has horizontal line of symmetry ?

As shown in figure we have horizontal line of symmetry or figure is symmetrical above the horizontal line passing through the the \$B,H,E\$

Q: How many lines of symmetry are there for an equilateral triangle.

Equilateral triangle have all three sides equal and all three angles equal showing 3 lines of symmetry.

Q: Draw all lines of symmetry for each of the following letters:

(i)Letter 'C' has one line symmetry.(ii) Letter 'E' has one line symmetry.(iii)Letter 'F' has no line symmetry.(iv)Letter 'K' has no line symmetry.(v)Letter 'X' has two line symmetry.(vi) letter 'V' has one line symmetry.(vii)Letter 'M' has one line symmetry.(viii)Letter 'Y' has one line symmetry.

Q: Give three examples of shapes with no line of symmetry.

The three examples are(i) Quadrilateral (ii) Scalene triangle(iii) Parallelogram

Q: Write the number of lines of symmetry in each letter \$'SYMMETRY'.\$

In the word \$' SYMMETRY'\$ letter \$' R'\$ and \$' S'\$ has no line symmetry.But letter \$'Y, M, E, T'\$ has one line symmetry.

Q: How many lines of symmetry are there in a regular hexagon?

A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides. That is an equilateral triangle has 3 lines of symmetry, a square has 4 lines of symmetry, similarly a regular hexagon has 6 lines of symmetry.The answer is 6.

Maths

example

Lines of symmetry in miscellaneous figures

Look at the lines of symmetry on the following figures.
There are different types of figures can have different numbers of lines of symmetry.

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Creating Symmetrical Figures

Start with a point on the line of symmetry and draw the same thing on the other side.
1. Make a horizontal line
2. Make a vertical line
3. Make a horizontal line
4. Make a diagonal line

Figure A is the original drawing and figure B was drawn to be a symmetrical or identical part.

definition

Lines of Symmetry in a Regular Polygon

Lines of Symmetry in a Regular Polygon is equal to number of sides of Polygon, since in Regular Polygon all sides are Equal.

definition

Lines of symmetry of letters in english alphabet

Some Letters in English Alphabets have only one Line of Symmetry
Example: A B C D E K M T U V W Y
Some Letters in English Alphabets have two Lines of Symmetry, Horizontal and Vertical.
Example: H I X
Some Letters in English Alphabets have no Line of Symmetry
Example: F G J L N P Q R S Z
While letter "O" has infinite line of symmetry.

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