## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress

Question 1.

Draw the line (or lines) of symmetry, if any, of the following figures/shapes and count their number:

Solution:

Question 2.

Draw the line (or lines) of symmetry, if any, of the following pictures of playing cards and count their number:

Solution:

Question 3.

Write the letters of the word ‘ALGEBRA’ which have no line of symmetry.

Solution:

L, G R

Question 4.

On a squared paper, sketch the following:

(i) A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(ii) A quadrilateral with both horizontal and vertical lines of symmetry.

(iii) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

(iv) A hexagon with exactly two lines of symmetry.

Solution:

Question 5.

Copy the following figures on a squared paper and complete each figure such that the resultant figure is symmetrical about the dotted line (or lines):

Solution:

Question 6.

State whether the following statement is true or false. Justify your answer:

“A straight line dividing a figure into two identical parts is necessarily a line of symmetry.”

Solution:

False, in the figure shown,

diagonals AC divides the rectangle into two identical parts

but rectangle is not symmetrical about line \(\overleftrightarrow { AC } \).

Question 7.

Find whether the figure on the left side is the reflection of the figure on right side. If not, draw the correct figure.

Solution:

No