Question

The rhombus ABCD shown below is symmetrical about:

• A. Diagonals AC & BD
• B. Diagonal AC only
• C. Line passing through the midpoint of AB and DC
• D. Line passing through the midpoint of AD and BC

Answer 1

The correct option is A

Diagonals AC & BD

The rhombus is a quadrilateral whose all four sides are equal in length. It has two pairs of parallel sides. Lines of symmetry joining the midpoints of its opposites create halves that do not overlap with each other.

Considering the diagonals as lines of symmetry, we find that it divides the rhombus into two that completely overlap each other.

Hence, the rhombus has two lines of symmetry and is symmetrical about its diagonals AC and BD.