Chapter E, Problem 14.9EX

To determine

To find: The correct choice for number of lines of symmetry in a rhombus having a ${60}^{\circ }$ angle.

Answer to Problem 14.9EX

The correct choice for number of lines of symmetry in a rhombus having a ${60}^{\circ }$ angle.

is ( $d$ ).

Explanation of Solution

Given information: The shape, of which line of symmetry is to be determined is Rhombus.

Interpretation:

In geometry, a line of symmetry is defined as a plane which can be drawn through a two dimensional figure to get two perfectly mirror sides. A rhombus is a four sides quadrilateral having same length but its angles are less than ${90}^{\circ }$ . Rhombus has both line and rotational symmetry.

  

It is clear from the above figure, that the Rhombus has two lines of symmetry. It is symmetric about its two diagonals.

  

Since it is having a ${60}^{\circ }$ angle thus, lines of symmetry of rhombus are four. It is symmetric along its sides are also.

Therefore, the number of lines of symmetry in a rhombus having a ${60}^{\circ }$ angle are $4$ .