2 Marks Questions

Question 12 Marks

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

Answer

The other angles will be $120^\circ , 180^\circ , 240^\circ , 300^\circ , 360^\circ $
Since, the figure is said to have rotational symmetry about same angle as the first one.
Hence, the figure will look exactly the same when rotated by $60^\circ $ from the last position.

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Question 22 Marks

Name the quadrilaterals which have both line and rotational symmetry of order more than $1.$

Answer

A square has a line and rotational symmetry of order more than one.
Line Symmetry:

Rotational Symmetry:

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Question 32 Marks

Draw, wherever possible, a rough sketch of a quadrilateral with a quadrilateral with line symmetry but not a rotational symmetry of order more than $1.$

Answer

A trapezium has a line symmetry and a rotational symmetry of order one.
Line Symmetry:

Rotational Symmetry:

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Question 42 Marks

Draw, wherever possible, a rough sketch of a triangle with only line symmetry and no rotational symmetry of order more than $1.$

Answer

An isosceles triangle has only one line of symmetry and rotational symmetry of order $1.$
Line Symmetry:

Rotational Symmetry:

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Question 52 Marks

Draw, wherever possible, a rough sketch of a triangle with both line and rotational symmetries of order more than $1.$

Answer

An equilateral triangle has both line and rotational symmetries of order more than $1.$
Line Symmetry:

Rotational Symmetry:

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Question 62 Marks

Give the order of rotational symmetry for the figure:

Answer

Let us take any point $S$ in figure. It takes two rotations to come back to its original position.

$\therefore$ Order of rotational symmetry = $\frac {360^\circ}{180^\circ} = 2$

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Question 72 Marks

Give the order of rotational symmetry for the figure:

Answer

Let us take a point $S$ on one end of the given figure. Rotating by $180^\circ ,$
$S$ comes at other end and then again rotating by $180^\circ ,$
it comes at its original position. $\times$ Order of rotational symmetry $= \frac {360^\circ}{180^\circ} = 2$

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Question 82 Marks

Give three examples of shapes with no line of symmetry.

Answer

The following shapes have no line of symmetry$-$
$i.$ Parallelogram

$ii.$ Scalene triangle

$iii.$ Quadrilateral

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Question 92 Marks

What letters of the English alphabet have reflectional symmetry $(i.e.,$ symmetry related to mirror reflection$)$ about:
$a.$ a vertical mirror
$b.$ a horizontal mirror
$c.$ both horizontal and vertical mirrors

Answer

$a. \text{A, H, I, M, O, T, U, V, W, X, Y}$
$b. \text{B, C, D, E, H, I, O, X}$
$c. \text{H, I, O, X}$

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Maths 2 Marks Questions

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