What are the fundamental properties of a rhombus?
Fundamental properties of the rhombus. 1 • All sides of the rhombus are equal. 2 • The opposite sides of a rhombus are parallel. 3 • The opposite angles of a rhombus are equal. 4 • In a rhombus, the diagonals bisect each other at right angles. 5 • The diagonals bisect the interior angles of the rhombus.
What makes a rhombus unique from other quadrilaterals?
One of the two characteristics that make a rhombus unique is that its four sides are equal in length, or congruent. The other identifying property is that opposite sides are parallel. If you have a quadrilateral with only one pair of parallel sides, you definitely do not have a rhombus (because two of its sides cannot be the same length).
What makes a rhombus a special case of the parallelogram?
Definition of a rhombus A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles.
How are the opposite sides of a rhombus equal?
The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal. In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus. The sum of two adjacent angles is equal to 180 degrees.
How are the sides of a rhombus equal?
All sides of a rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal. In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus. This is one of the most important properties of diagonals of rhombus.
What are the properties of a quadrilateral rhombus?
A rhombus is a quadrilateral with sides of equal length. Opposite sides are parallel and opposite vertex angles are equal. Let us say, you are required to construct a rhombus PQRS with the lengths of its two diagonals, PR = 6 cm and SQ = 7 cm.
How is a square a type of rhombus?
A rhombus has all its sides of equal length and a square also does. Moreover, the diagonals of the square are perpendicular to each other and bisect at opposite angles. Therefore, a square is a type of rhombus. Fundamental properties of the rhombus
How many interior angles are there in a rhombus?
Rhombus has four interior angles. The sum of interior angles of a rhombus add up to 360 degrees. The opposite angles of a rhombus are equal to each other. The adjacent angles are supplementary. In a rhombus, diagonals bisect each other at right angles. The diagonals of a rhombus bisect these angles.
Which is the plural form of a rhombus?
In a rhombus, opposite sides are parallel and the opposite angles are equal. All the sides of a rhombus are equal in length. Diagonals of a rhombus bisect each other at right angles. The plural form of a rhombus is rhombi or rhombuses.