Practice30Create account

Assertion (A): The diagonals of a rhombus bisect each other at right angles. Reason (R): A rhombus is a parallelogram with all sides equal. Which is correct?

Class 8Understanding QuadrilateralsQuadrilaterals
  • ABoth A and R are true, and R correctly explains A
  • BBoth A and R are true, but R does not explain A
  • CA is true, R is false
  • DA is false, R is true

Step-by-Step Solution

A is a true property of a rhombus. R correctly defines a rhombus, and it is precisely the equal-sides parallelogram structure that forces the diagonals to bisect each other at right angles. So R explains A.
Answer: A) Both A and R are true, and R correctly explains A

Key idea: Special parallelograms — extra properties

**Rectangle**: parallelogram + all angles 90°. Extra: diagonals are equal in length.

**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.

**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.

Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Understanding Quadrilaterals practice questions

More Class 8 Understanding Quadrilaterals practice

An exterior angle of a regular polygon is 72°. How many sides does the polygon have?In quadrilateral ABCD, ∠A = 78°, ∠B = 104° and ∠D = 95°. Find the angle marked at C.Each side of the pentagon is extended (dashed) to show its exterior angles. Four of them…The picture shows a few sides of a regular polygon. One side is extended (dashed), and…ABCD is a parallelogram (arrow marks show AB ∥ DC). ∠A = (3x + 10)° and ∠C = (5x − 30)°.…