## Can a rhombus be a kite?

Answer 1:

Yes, a rhombus is always a kite.

Explanation:

A kite is a convex quadrilateral with two pairs of adjacent equal sides. A rhombus has two pairs of adjacent equal sides too, but all four sides are the same length.

Note:

This answer assumes a positive definition of “kite” that does not deliberately exclude such special cases as rhombuses or squares. If the definition of “kite” that you use specifies that opposite sides are not parallel then rhombuses would not count as kites.

Positive definitions avoid having to single out special cases when proving general results and (in my opinion) are to be preferred over negative definitions.

Answer 2:

No.

Explanation:

See the figures below.

Kites :

- Opposite sides are not parallel.
- Only two pairs of adjacent sides are equal.
- Diagonals intersect at right angles but only one diagonal is bisected.

Rhombus :

- All the 4 sides are always equal.
- Opposite sides are parallel.
- Diagonals bisect at right angles.
- It’s a slanting square. It becomes a square when all the 4 angles are equal to \(90^{\circ}\)