Q: In the word 'MATHS' which letter shows rotational symmetry of order \$2\$?

\$\textbf{Step 1: Observe the letters to determine the required letter.}\$ \$\text{The given word is 'MATHS' .}\$ \$\text{The letters are 'M', 'A', 'T', 'H' and 'S' .}\$ \$\text{If a letter remains the same after a rotation of }\$\$\mathrm{180^\circ}\$ \$\text{only, in clockwise or anti-clockwise direction,}\$ \$\text{then the letter has a rotational symmetry of order 2. }\$ \$\text{Observing the letters of the given word, we can say that, if we rotate the letter 'H' by }\$\$\mathrm{180^\circ}\$ \$\text{in either direction, it will remain the same. }\$ \$\text{Thus, only 'H' shows rotational symmetry of order 2.}\$\$\textbf{Hence, the required letter is 'H'.}\$

Q: After rotating by \${60}^{o}\$ about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Other angles will be \${12}^{o},{180}^{o},{240}^{o}, {300}^{o}, {360}^{o}\$

Q: What is the order of rotational symmetry of rectangle?

If a rectangle is rotated by \$180(half\ of\ 360)\$, then it exactly fits its own outline.Therefore a rectangle has rotational symmetry of order\$ 2\$

Q: What is the order of rotational symmetry and angle of rotation for this design?

On rotating the given shape by \$ {90}^{\circ} \$, the shape remains the same.Thus the angle of rotation for the given shape is \$ {90}^{\circ} \$.Also on rotating \$ {90}^{\circ} \$, four times, the shape remains the same on each turn and comes back to its original position. Thus the order of rotational symmetry of the given shape is \$ 4 \$

Q: Give the order of rotational symmetric for each of the following figure when rotated about the marked point \$(x)\$:

We can see that three yellow lines which are at \$120^0\$ each are lines of symmetry.So, given figure has rotational lines of symmetry that is after moving figure by \$120^0\$ we get same figure again.

Q: The following shape has rotational symmetry about the marked point of order:

When Fig is rotated through \$180^\circ\$, the image looks like the original. Thus, the given figure has rotational symmetry of order \$2\$ about the marked point.

Q: The order of rotational symmetry for a square is___________

"Order of rotational symmetry of a square" The order of rotational symmetry of a square is, number of times a square fits onto itself during a full rotation of \$360^\circ\$.When we look at the above images of square, it fits on to itself \$4\$ times during a full rotation of \$360^\circ\$.So, the order of rotational symmetry of a square is equal to \$4.\$

Question 1

Find the order of rotational symmetry of equilateral triangle.

Accepted Answer

If a equilateral triangle is rotated by 120 (one fifth of 360), then it exactly fits its own outline.Therefore a equilateral triangle has rotational symmetry of order 3.

Question 2

In the word 'MATHS' which letter shows rotational symmetry of order $2$?

Accepted Answer

$\textbf{Step 1: Observe the letters to determine the required letter.}$                $\text{The given word is 'MATHS' .}$                $\text{The letters are 'M', 'A', 'T', 'H' and 'S' .}$                $\text{If a letter remains the same after a rotation of }$$\mathrm{180^\circ}$ $\text{only, in clockwise or anti-clockwise direction,}$                $\text{then the letter has a rotational symmetry of order 2. }$                $\text{Observing the letters of the given word, we can say that, if we rotate the letter 'H' by }$$\mathrm{180^\circ}$                 $\text{in either direction, it will remain the same. }$                $\text{Thus, only 'H' shows rotational symmetry of order 2.}$$\textbf{Hence, the required letter is 'H'.}$

Question 3

After rotating by ${60}^{o}$ about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Accepted Answer

Other angles will be ${12}^{o},{180}^{o},{240}^{o}, {300}^{o}, {360}^{o}$

Question 4

What is the order of rotational symmetry of a regular pentagon?

Accepted Answer

A pentagon has 5 rotational symmetry as shown in figure has 5 point when rotated produces symmetrical image

Question 5

What is the order of rotational symmetry of rectangle?

Accepted Answer

If a rectangle is rotated by $180(half\  of\  360)$, then it exactly fits its own outline.Therefore a rectangle has rotational symmetry of order$ 2$

Question 6

What is the order of rotational symmetry and angle of rotation for this design?

Accepted Answer

On rotating the given shape by $ {90}^{\circ}  $, the shape remains the same.Thus the angle of rotation for the given shape is $ {90}^{\circ}  $.Also on rotating $ {90}^{\circ}  $, four times, the shape remains the same on each turn and comes back to its original position. Thus the order of rotational symmetry of the given shape is $ 4 $

Question 7

Give the order of rotational symmetric for each of the following figure when rotated about the marked point $(x)$:

Accepted Answer

We can see that three yellow lines which are at $120^0$ each are lines of symmetry.So, given figure has rotational lines of symmetry that is after moving figure by $120^0$ we get same figure again.

Question 8

The quadrilateral which has the highest line and rotational symmetry is _______ .

Accepted Answer

Square is a quadrilateral that has both the line and the rotational symmetry of order more than $1$. A square has $4$ lines of symmetry and rotational symmetry of order $4$.

Question 9

The following shape has rotational symmetry about the marked point of order:

Accepted Answer

When Fig is rotated through $180^\circ$, the image looks like the original. Thus, the given figure has rotational symmetry of order $2$ about the marked point.

Question 10

The order of rotational symmetry for a square is___________

Accepted Answer

&#34;Order of rotational symmetry of a square&#34; The order of rotational symmetry of a square is, number of times a square fits onto itself during a full rotation of $360^\circ$.When we look at the above images of square, it fits on to itself $4$ times during a full rotation of $360^\circ$.So, the order of rotational symmetry of a square is equal to $4.$

Introducton to Rotational Symmetry

Language

Rate

REVISE WITH CONCEPTS

Rotational Symmetry

Symmetry in Polygons

QUICK SUMMARY WITH STORIES

Line of symmetry for regular polygon

Shapes with one or more lines of symmetry

Rotational symmetry

Find the order of rotational symmetry of equilateral triangle.

In the word 'MATHS' which letter shows rotational symmetry of order $2$ ?

After rotating by $60^{o}$ about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

What is the order of rotational symmetry of a regular pentagon?

What is the order of rotational symmetry of rectangle?

What is the order of rotational symmetry and angle of rotation for this design?

Give the order of rotational symmetric for each of the following figure when rotated about the marked point $(x)$ :

The quadrilateral which has the highest line and rotational symmetry is _______ .

The following shape has rotational symmetry about the marked point of order:

The order of rotational symmetry for a square is___________

Introducton to Rotational Symmetry

Language

Rate

REVISE WITH CONCEPTS

Rotational Symmetry

Symmetry in Polygons

QUICK SUMMARY WITH STORIES

Line of symmetry for regular polygon

Shapes with one or more lines of symmetry

Rotational symmetry

Find the order of rotational symmetry of equilateral triangle.

In the word 'MATHS' which letter shows rotational symmetry of order 2?

After rotating by 60o about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

What is the order of rotational symmetry of a regular pentagon?

What is the order of rotational symmetry of rectangle?

What is the order of rotational symmetry and angle of rotation for this design?

Give the order of rotational symmetric for each of the following figure when rotated about the marked point (x):

The quadrilateral which has the highest line and rotational symmetry is _______ .

The following shape has rotational symmetry about the marked point of order:

The order of rotational symmetry for a square is___________

In the word 'MATHS' which letter shows rotational symmetry of order $2$ ?

After rotating by $60^{o}$ about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Give the order of rotational symmetric for each of the following figure when rotated about the marked point $(x)$ :