A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a __________.

rhombus

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

parallelogram

No worries! We‘ve got your back. Try BYJU‘S free classes today!

square

No worries! We‘ve got your back. Try BYJU‘S free classes today!

rectangle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
rhombus

The correct answer is (a) rhombus
Explanation
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length.
Properties
All sides of the 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.
For example, the quadrilateral $A B C D$ is a rhombus as shown below,
Hence, the correct option is (a)

Suggest Corrections

Similar questions

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Which of the following is not true for a parallelogram?

(a) Opposite sides are equal.

(b) Opposite angles are equal.

(d) Diagonals bisect each other.

Join BYJU'S Learning Program