- ARhombus
- BRectangle
- CKite
- DTrapezium
Step-by-Step Solution
Equal diagonals in a parallelogram force all angles to be 90°, which is the defining condition of a rectangle.
Answer: B) Rectangle
If the diagonals of a parallelogram are equal, then it is a ____.
Class 9QuadrilateralsGeometry — Quadrilaterals
Key idea: Special parallelograms
**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
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 Quadrilaterals practice questions
More Class 9 Quadrilaterals practice
In ΔABC, D is the midpoint of AB and E is the midpoint of AC. Which statement is correct?In parallelogram PQRS, ∠P = (2x)° and ∠Q = (3x)°. Find ∠P (in degrees).Which of the following is true for a kite but NOT for a general parallelogram?ABCD is a parallelogram and P, Q are midpoints of sides AB and DC respectively. What can…In triangle ABC, D and E are the mid-points of AB and AC (see the tick marks). The blue…