Question

Match the columns.

	Column A		Column B
$1$	Rhombus	a	Six lines of symmetry
$2$	Regular hexagon	b	Rotational symmetry of order $3$
$3$	Parallelogram	c	Infinite lines of symmetry
$4$	Equilateral triangle	d	Two lines of symmetry
$5$	Circle	e	Rotational symmetry of order $2$
$6$	Scalene Triangle	f	No line of symmetry
$7$	Letter P	g	Rotational symmetry of order $1$

Accepted Answer

We know that,

The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.

If, after a rotation, an object looks exactly the same, we say that it has rotational symmetry.

$1 .$ Rohmbus: A rhombus has $2$ lines of symmetry which cuts it into two identical parts. Both the lines of symmetry in a rhombus are from its diagonals. So, it can be said the rhombus lines of symmetry are its both diagonals.

So, Rohmbus has two lines of symmetry.

$2 .$ Regular hexagon: A regular hexagon with six equal sides has six lines of symmetry.

So, Regular hexagon has six lines of symmetry.

$3 .$ Parallelogram: Let us rotate the shape parallelogram,

We observe that the parallelogram coincides itself when rotated through $180^{°}, 360^{°}$ about the centre.

So, Parallelogram has rotational symmetry of order $2$ .

$4 .$ Equilateral triangle: Let us rotate the Equilateral triangle,

We observe that the figure coincides itself when rotated through $120^{°}, 240^{°}, 360^{°}$ about the centre.

So, the Equilateral triangle has rotational symmetry of order $3 .$

$5 .$ Circle: Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry.

So, circle has Infinite lines of symmetry.

$6 .$ Scalene Triangle: Scalene triangle has no equal sides and no equal angles so the number of line of symmetry in a scalene triangle is Zero.

So, scalene Triangle has no line of symmetry.

$7 .$ Letter P: Let us rotate the letter P.

We observe that the letter P coincides itself when rotated through $360^{°}$ about the centre.

So, Letter P has rotational symmetry of order $1$ .

Hence, the Matched column is shown below,

Column A Column B

$1$ Rhombus d Two lines of symmetry

$2$ Regular hexagon a Six lines of symmetry

$3$ Parallelogram e Rotational symmetry of order $2$

$4$ Equilateral triangle b Rotational symmetry of order $3$

$5$ Circle c Infinite lines of symmetry

$6$ Scalene Triangle f No line of symmetry

$7$ Letter P g Rotational symmetry of order $1$

Rashmi Bhartiya Solutions for Chapter: Symmetry, Exercise 1: Worksheet - 77

Rashmi Bhartiya Mathematics Solutions for Exercise - Rashmi Bhartiya Solutions for Chapter: Symmetry, Exercise 1: Worksheet - 77

Questions from Rashmi Bhartiya Solutions for Chapter: Symmetry, Exercise 1: Worksheet - 77 with Hints & Solutions

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