Online Test — Quadrilaterals
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
What is the sum of all interior angles in any standard quadrilateral?
\(180^\circ\)
\(270^\circ\)
\(360^\circ\)
\(540^\circ\)
Explanation: By the angle sum property, all quadrilaterals have interior angles summing to \(360^\circ\).
Question 2 of 10
Which statement is true for any general parallelogram?
Diagonals are equal
Opposite angles are equal
All sides are equal
All angles are \(90^\circ\)
Explanation: Parallelograms always have matching opposite interior angles.
Question 3 of 10
If two consecutive angles of a parallelogram are \((2x)^\circ\) and \((3x)^\circ\), find \(x\).
\(18\)
\(36\)
\(54\)
\(72\)
Explanation: Consecutive angles sum to \(180^\circ\); \(2x + 3x = 180 \implies 5x = 180 \implies x = 36\).
Question 4 of 10
A parallelogram with four equal sides and perpendicular diagonals, but non-equal angles is a:
Rectangle
Trapezium
Rhombus
Square
Explanation: A rhombus has four equal sides and perpendicular diagonals, but its angles aren't \(90^\circ\).
Question 5 of 10
If the diagonals of a rectangle have lengths of \(14\text{ cm}\) and \(2x - 4\text{ cm}\), what is \(x\)?
\(5\text{ cm}\)
\(7\text{ cm}\)
\(9\text{ cm}\)
\(18\text{ cm}\)
Explanation: Rectangle diagonals are equal: \(2x - 4 = 14 \implies 2x = 18 \implies x = 9\).
Question 6 of 10
Which special parallelogram has diagonals that are equal in length AND cross at \(90^\circ\)?
Rhombus
Rectangle
Square
Trapezium
Explanation: The square combines the equal diagonals of a rectangle with the perpendicular diagonals of a rhombus.
Question 7 of 10
How many pairs of parallel sides does a standard trapezium have?
0
1
2
4
Explanation: By definition, a trapezium has exactly one single pair of parallel opposite sides.
Question 8 of 10
In a kite, what angle is formed at the intersection point of its two diagonals?
\(45^\circ\)
\(60^\circ\)
\(90^\circ\)
\(180^\circ\)
Explanation: The diagonals of a kite are always perpendicular to each other (\(90^\circ\)).
Question 9 of 10
If three angles of a quadrilateral are \(90^\circ\) each, what must the fourth angle be?
\(45^\circ\)
\(90^\circ\)
\(120^\circ\)
\(180^\circ\)
Explanation: \(360^\circ - (90^\circ + 90^\circ + 90^\circ) = 360^\circ - 270^\circ = 90^\circ\).
Question 10 of 10
If a quadrilateral has two pairs of equal adjacent sides but no parallel sides, it is a:
Parallelogram
Rhombus
Trapezium
Kite
Explanation: This matches the definition of a kite.