Can a rectangle be a rhombus?
2 Answers
Only if the rectangle is a square
Explanation:
A rectangle is a parallelogram with all its interior angles being 90 degrees.
A rhombus is a parallelogram with all its sides equal.
This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.
A rectangle can be a rhombus only if has extra properties which would make it a square.
Explanation:
A rectangle and a rhombus are both types of parallelograms.
However they have different properties of their sides, angles and diagonals.
A rectangle has all its angles
A rectangle has two pairs of equal sides - two longer sides and two shorter sides.
The diagonals of a rectangle are equal, but do not intersect at
The opposite angles of a rhombus are equal. There are two obtuse angles and two acute angles.
All four sides of a rhombus are equal.
The diagonals are not equal, but they intersect at
A rectangle is therefore not a rhombus,
If it is to be a rhombus, additional properties have to be present.
The only time this would happen is if the shape was a square.
A square is a rectangle, but a rectangle is not a square.
