Question

A quadrilateral has all of its sides equal and the pairs of opposite sides are parallel to each other. Which of the following shapes can it be?

• A. 1, 3 and 4
• B. Both 1 and 3
• C. Only 1
• D. Only 3

Answer 1

The correct option is B Both 1 and 3

A square is a quadrilateral with $4$ equal edges and $2$ pairs of parallel sides.

A rectangle is a quadrilateral with $2$ pairs of parallel sides and opposite edges are equal.

A rhombus is a quadrilateral with $4$ equal edges and $2$ pairs of parallel edges.

A parallelogram is a quadrilateral with $2$ pairs of parallel edges and equal opposite edges.

Only the square and rhombus satisfy the given conditions.

Hence, the correct option is Option C.