What are not the properties of a rhombus?
The shape below is not a rhombus because its diagonals are not perpendicular. However, since opposite sides are congruent and parallel, and the diagonals bisect each other. The shape below is a parallelogram.
Which is not necessarily a rhombus?
One of the two characteristics that make a rhombus unique is that its four sides are equal in length, or congruent. If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus; you might have a parallelogram, or you could have a rhombus if all four sides are the same length.
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.
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 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 diagonals of a rhombus congruent?
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. The sum of two adjacent angles is equal to 180°. The two diagonals of a rhombus form 4 right-angled triangles which are congruent to each other.