Question

How many lines of symmetry does a rhombus have?
(In this case we mean a rhombus that is not a square)
A) 1
B) 2
C) 4
D) None

Answer 1

Hint:
We know that the line of symmetry is defined as a line which divides the object into two equal parts. So we will draw the possible number of lines through the rhombus in such a way that the line cuts the rhombus into two equal parts and the number of possible such lines will be the required number of lines of symmetry.

Complete step by step solution:
We know that the line of symmetry is defined as a line which divides the object into two equal parts. So we will draw the possible number of lines through the rhombus in such a way that the line cuts the rhombus into two equal parts.
First we will draw the rhombus and we will draw the line of symmetry now.

A rhombus has only two lines of symmetry which cuts the rhombus into two identical parts. Both the lines of symmetry of the rhombus are the diagonals of the rhombus. So, it can be said that the lines of symmetry of the rhombus are its diagonals.

Therefore, Rhombus has 2 lines of symmetry.

Note:
Since we have determined the number of lines of symmetry of rhombus. We need to know some important properties of rhombus. Length of all sides of the rhombus is equal. The length of opposite sides of a rhombus is equal. Always keep in mind that the two diagonals of a rhombus always bisect each other. The angles of the rhombus are bisected by the diagonals of the rhombus. The two diagonals of a rhombus form four right-angled triangles and all these triangles are congruent to each other.