- A6.5 cm
- B13 cm
- C26 cm
- D6 cm
Step-by-Step Solution
The diagonals of a rectangle are equal, so cm, and they bisect each other, so cm.
Answer: A) 6.5 cm
PQRS is a rectangle and its diagonals meet at O. The diagonal QS is 13 cm long. Find the length of the orange segment OP.
Class 8Understanding QuadrilateralsQuadrilaterals
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.
**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
ABCD is a kite: the tick marks show AB = AD and CB = CD. ∠A = 80° and ∠C = 50°. Find the…In trapezium ABCD, the arrow marks show AB ∥ DC. ∠A = 62° and ∠B = 75°. Find ∠D.A floor is tiled with identical regular hexagons with no gaps. At the orange corner…Which quadrilateral has all sides equal AND all angles equal?Which quadrilateral is defined as having at least one pair of parallel sides?