Class 9 • Maths • Chapter 8
QUADRILATERALS
True & False Quiz
Parallelogram. Midpoint. Diagonal.
✓True
✗False
25
Questions
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Ch.8
Chapter
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IX
Class
Why True & False for QUADRILATERALS?
How this format sharpens your conceptual clarity
🔵 Quadrilaterals extend triangle congruence to four-sided figures — the parallelogram properties and mid-point theorem underpin coordinate and mensuration topics.
✅ T/F tests properties of parallelograms, rectangles, rhombuses, squares, and the Mid-Point Theorem.
🎯 The diagonals of a rectangle are equal AND bisect each other; a rhombus bisects at 90° but the diagonals are NOT equal (unless it's a square).
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
The sum of the interior angles of any quadrilateral is \(360^\circ\) .
Q 2
If both pairs of opposite sides of a quadrilateral are equal, it is always a parallelogram.
Q 3
Diagonals of a rectangle are always equal in length.
Q 4
All rectangles are squares.
Q 5
All squares are rectangles.
Q 6
A quadrilateral with only one pair of parallel sides is called a parallelogram.
Q 7
Opposite angles of a parallelogram are always equal.
Q 8
If a quadrilateral has three right angles, the fourth must also be a right angle.
Q 9
A rhombus has all sides equal and all angles equal.
Q 10
Diagonals of a parallelogram always bisect each other.
Q 11
In a kite, only one pair of opposite angles is equal.
Q 12
The diagonals of a rhombus are always perpendicular bisectors of each other.
Q 13
A square is a rectangle, a parallelogram, and a rhombus at the same time.
Q 14
The diagonals of a rectangle bisect each other at right angles.
Q 15
All trapeziums are parallelograms.
Q 16
All parallelograms are trapeziums.
Q 17
A quadrilateral with diagonals that both bisect and are equal must be a square.
Q 18
The diagonals of a kite intersect at right angles.
Q 19
All sides of a rhombus are equal, but its diagonals are not equal.
Q 20
A parallelogram with equal diagonals is a rectangle.
Q 21
There can exist a quadrilateral with three right angles and one obtuse angle.
Q 22
In any quadrilateral, only the sum of opposite angles is \(180^\circ\) .
Q 23
The diagonals of a square are equal and bisect each other at \(90^\circ\).
Q 24
All sides of a parallelogram are always equal.
Q 25
A quadrilateral can always be formed if only the measures of four sides are given.
Key Takeaways — QUADRILATERALS
Core facts for CBSE Boards & exams
1
Angle sum of a quadrilateral = 360°.
2
Parallelogram: opposite sides equal and parallel; opposite angles equal; diagonals bisect each other.
3
Rectangle: parallelogram + all angles 90° + equal diagonals.
4
Rhombus: parallelogram + all sides equal + diagonals bisect at 90° (but not necessarily equal).
5
Square: rhombus + rectangle (all sides equal, all angles 90°, equal diagonals, diagonals bisect at 90°).
6
Mid-Point Theorem: line joining midpoints of two sides of a triangle is parallel to the third side and half its length.