## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 14 Symmetry Ex 14.1

Question 1.

Draw all lines of symmetry, if any, in each of the following figures:

Solution:

The line/lines of symmetry have been drawn as given below:

Question 2.

Copy the figures with a punched hole(s) and draw all the axes of symmetry in each of the following:

Solution:

The line/lines of symmetry have been drawn as given below:

Question 3.

In the following figure, mark the missing hole(s) in order to make them symmetrical about the dotted line:

Solution:

The lines of symmetry have been drawn and the required holes are

marked by dark punches (small circles) as given below:

Question 4.

In the following figures, the mirror line (line of symmetry) is given as dotted line. Complete each figure by performing reflection in the mirror (dotted) line and name the figure you complete:

Solution:

Each figure is given, has been completed along with the mirror (dotted) line:

Question 5.

Copy the adjoining figure.

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?

Solution:

We get the same figure if we shade according to the

other diagonal as a line of symmetry.

Also, we get the same figure of we shade

by taking the line joining the mid-point of the opposite sides.

Yes, the figure is symmetrical about both diagonals.

Question 6.

Draw the reflection of the following figures/letter in the given mirror line shown dotted:

Solution:

The reflection of the given figure/letter in the given mirror line shown

dotted have been drawn as given below:

Question 7.

What other names can you give to the line of symmetry of

(i) an isosceles triangle

(ii) rhombus

(iii) circle?

Solution:

(i) An isosceles triangle: We can be called the line of symmetry

as the angle bisector or median of the triangle.

(ii) Rhombus: The lines of symmetry of the rhombus are

also called as the diagonals of the rhombus as they bisect each other at right angles.

(iii) Circle: The lines of symmetry of a circle are also called the diameters of the circle.

As the diameter of a circle is infinite, so the lines of symmetry of a circle are also infinite.