Question

Out of the figures given below, which ones are symmetrical about the each of the given lines? Tick $(✓)$ the symmetrical figures.

Accepted Answer

The given figures are considered individually and checked for their symmetry about the dotted line shown in each figure.

A figure is said to be symmetrical about a dotted line if both the half-figures formed by the division through dotted line overlap each other on folding through the line or the dotted line divides the given figure into two equal parts. The dotted line is also called axis of symmetry.

In the first figure, the triangle is divided into two equal parts by the dotted line. So it is symmetrical.

In the second figure, the square is divided into two equal parts by the dotted line. So it is symmetrical.

In the third figure, the rectangle is not divided into two equal parts by the dotted line(along a diagonal). So it is not symmetrical.

In the fourth figure, the bulb is divided into two equal parts by the dotted line. So it is symmetrical.

In the fifth figure, the flag is not divided into two equal parts by the dotted line, as the colours below and above the dotted line of flag are different. So it is not symmetrical.

In the sixth figure, the shape is divided into two equal parts by the dotted line, as the sub-figures and even the colours in it are same. So it is symmetrical.

In the seventh figure, the semi-circle is divided into two equal parts by the dotted line. So it is symmetrical.

In the eight figure, the triangle is not divided into two equal parts by the dotted line, as the area above the dotted line is not same as the area below it. So it is symmetrical.

In the ninth figure, the parallelogram is not divided into two equal parts by the dotted line. So it is not symmetrical.

In the tenth figure, the triangle is not divided into two equal parts by the dotted line, as the area above the dotted line is not same as the area below it. So it is symmetrical.

In the eleventh figure, the parallelogram is not divided into two equal parts by the dotted line(along a diagonal). So it is not symmetrical.

In the twelfth figure, the triangle is divided into two equal parts by the dotted line(from a vertex). So it is symmetrical.

In the thirteenth figure, the triangle is divided into two equal parts by the dotted line(from a vertex). So it is symmetrical.

Therefore the symmetrical figures are shown below.

	$\frac{4}{6}$	Denominator- $5$
	$\frac{3}{7}$	Numerator- $9$
	$\frac{2}{8}$	Numerator- $5$
	$\frac{1}{5}$	Denominator- $6$
	$\frac{9}{16}$	Numerator- $2$
	$\frac{5}{9}$	Numerator- $3$

Out of the figures given below, which ones are symmetrical about the each of the given lines? Tick $(✓)$ the symmetrical figures.

Important Questions on Halves and Quarters

Learn and Prepare for any exam you want !

Out of the figures given below, which ones are symmetrical about the each of the given lines? Tick ✓ the symmetrical figures.

Important Questions on Halves and Quarters

Learn and Prepare for any exam you want !

Out of the figures given below, which ones are symmetrical about the each of the given lines? Tick $(✓)$ the symmetrical figures.