O (bisect) A B C D = ½ base Opp. sides =, ∥ Diagonals bisect Rect: diag equal Rhombus: diag ⊥
▱
Chapter 8  ·  Class IX Mathematics  ·  MCQ Practice

MCQ Practice Arena

Quadrilaterals

Parallelogram Properties and the Mid-Point Theorem — Master Geometry's Workhorse

📋 50 MCQs ⭐ 26 PYQs ⏱ 70 sec/Q
🚀 Start Practising 📖 Revise Notes First

MCQ Bank Snapshot

50Total MCQs
18Easy
22Medium
10Hard
26PYQs
70 secAvg Time/Q
8Topics
Easy 36% Medium 44% Hard 20%

Why Practise These MCQs?

CBSE Class IXNTSEState BoardsOlympiad

Quadrilaterals MCQs cover properties of parallelograms, special quadrilaterals (rhombus, rectangle, square), and the Mid-Point Theorem. CBSE exams award 1–2 MCQs and a 5-mark proof from this chapter. NTSE Geometry includes creative diagonal and angle problems. The Mid-Point Theorem (connecting midpoints of two sides gives a line parallel to the third) is a CBSE favourite and a high-frequency MCQ source.

Topic-wise MCQ Breakdown

Angle Sum of Quadrilateral (360°)4 Q
Properties of Parallelogram12 Q
Tests for Parallelogram6 Q
Rectangle, Rhombus, Square Properties10 Q
Trapezium4 Q
Kite3 Q
Mid-Point Theorem8 Q
Converse of Mid-Point Theorem3 Q

Must-Know Formulae Before You Start

Recall these cold before attempting MCQs — they appear in >70% of questions.

$\text{Sum of angles of quadrilateral} = 360°$
$\text{Parallelogram: opp. sides equal \& parallel, opp. angles equal}$
$\text{Diagonals of parallelogram bisect each other}$
$\text{Rectangle: all angles 90°, diagonals equal}$
$\text{Rhombus: all sides equal, diagonals perpendicular bisectors}$
$\text{Square: all sides equal, all angles 90°, diagonals equal + perp.}$
$\text{Mid-Point Thm: line joining midpoints = half third side, parallel to it}$

MCQ Solving Strategy

Parallelogram MCQs: memorise 6 key properties as pairs — opposite sides equal AND parallel, opposite angles equal, consecutive angles supplementary, diagonals bisect each other. For "is it a parallelogram?" MCQs — if any one of these properties holds, check which test (equal+parallel opposite sides, or diagonals bisect each other) is given. Mid-Point Theorem: the line segment joining midpoints of two sides of a triangle is parallel to the third side and half its length.

⚠ Common Traps & Errors

Difficulty Ladder

Work through each rung in order — do not jump to Hard before mastering Easy.

① Easy

Angle sum = 360°, identify parallelogram properties, mid-point theorem statement

② Medium

Find missing angles/sides in special quadrilaterals, test for parallelogram

③ Hard

Multi-step proofs with diagonals, converse of mid-point theorem, kite/trapezium problems

★ PYQ

CBSE — prove parallelogram + mid-point; NTSE — property application problems

Continue Your Preparation

📖 Chapter Notes Revise concepts & theory 🧠 MCQ Practice Topic-wise Questions 📘✔️ Exercises Step-by-step NCERT solutions ✔️❌ True / False Concept-based True & False ➡ Next Chapter Circles
🎯 Knowledge Check

Maths — QUADRILATERALS

50 Questions Class 9 MCQs
1
The sum of the angles of a quadrilateral is always
2
In a parallelogram, opposite sides are
3
Diagonals of a rectangle are
4
Each angle of a rectangle is
5
The diagonals of a rhombus are
6
A square is
7
The line segment joining the mid-points of two sides of a triangle is
8
In a parallelogram ABCD, if \(\angle A = 70^\circ\), then \(\angle C\) = ?
9
In a parallelogram ABCD, if \(\angle A = 110^\circ\), then \(\angle B\) = ?
10
A kite has
11
In a trapezium, only one pair of opposite sides is
12
Which of the following always has four right angles?
13
The diagonals of a square are
14
Which quadrilateral has all sides equal but no right angle?
15
The diagonals of a parallelogram bisect each other. This property helps prove a quadrilateral is a
16
Opposite angles of a cyclic quadrilateral are
17
If a quadrilateral is both a rectangle and a rhombus, then it is a
18
The diagonals of a parallelogram divide it into
19
The figure formed by joining the midpoints of the sides of a quadrilateral is always a
20
In a parallelogram, if one angle is right, then the parallelogram is a
21
The opposite sides of a parallelogram are
22
The diagonals of a rhombus
23
A quadrilateral with one pair of opposite sides parallel is
24
The number of diagonals in a quadrilateral is
25
In a parallelogram, if diagonals are equal, it is a
26
A square is a
27
The opposite angles of a parallelogram are
28
The sum of the exterior angles of any polygon is
29
A parallelogram with all sides equal is a
30
Which of these is NOT a property of a parallelogram?
31
Which of these quadrilaterals has diagonals of unequal length?
32
A parallelogram has diagonals equal in length. It must be a
33
In a rectangle ABCD, diagonal AC = BD = 10 cm. Then the length of AC is
34
The sum of adjacent angles in a parallelogram is
35
In a rhombus, the diagonals
36
The figure whose all sides and angles are equal is a
37
The diagonals of a rectangle divide it into
38
A parallelogram with perpendicular diagonals is a
39
A quadrilateral with one pair of opposite sides parallel and equal is
40
If all angles of a parallelogram are equal, then it is a
41
Which statement is true for every quadrilateral?
42
Which quadrilateral has only one pair of opposite sides equal?
43
The diagonals of a kite are
44
If the diagonals of a quadrilateral bisect each other, it is a
45
If both pairs of opposite sides of a quadrilateral are equal, it is a
46
A parallelogram with diagonals equal and perpendicular is a
47
In a parallelogram ABCD, if diagonal AC = diagonal BD, then \(\angle A\) = ?
48
Which of the following is not a parallelogram?
49
In any quadrilateral, the number of diagonals drawn from a single vertex is
50
The mid-point theorem is used to prove
📚
ACADEMIA AETERNUM तमसो मा ज्योतिर्गमय · Est. 2025
Sharing this chapter
NCERT Class 9 Quadrilateral 50 MCQs with Answers
NCERT Class 9 Quadrilateral 50 MCQs with Answers — Complete Notes & Solutions · academia-aeternum.com
Mastering the concepts of Quadrilaterals is crucial for building a strong foundation in geometry for Class 9 students. This collection of 50 multiple choice questions (MCQs) from NCERT Mathematics Chapter 8 – Quadrilaterals is designed to help learners test their conceptual understanding and prepare effectively for school exams, competitive tests, and Olympiads. Each question comes with detailed answers and explanations, ensuring that students can grasp important properties like parallelogram…
🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
Share on
WhatsApp
Telegram
X / Twitter
Facebook
Instagram
Threads
Pinterest
LinkedIn
Quora
Discord
Reddit
Email
academia-aeternum.com/class-9/mathematics/quadrilaterals/mcqs/ Copy link
💡
Exam tip: Sharing chapter notes with your study group creates a reinforcement loop. Teaching a concept is the fastest path to mastering it.

Frequently Asked Questions

A quadrilateral is a closed figure with four sides, four angles, and four vertices. The sum of all interior angles of a quadrilateral is \(360^\circ\).

Parallelogram, Rectangle, Rhombus, Square, Trapezium, and Kite.

Opposite sides are equal and parallel, opposite angles are equal, and diagonals bisect each other.

The sum of all interior angles of a quadrilateral \(= 360^\circ\).

A quadrilateral whose opposite sides are parallel is called a parallelogram.

A rectangle is a parallelogram with all angles equal to \(90^\circ\).

Opposite sides are equal and parallel, all angles are \(90^\circ\), and diagonals are equal and bisect each other.

All sides are equal, opposite angles are equal, diagonals bisect each other at right angles.

All sides are equal, all angles are \(90^\circ\), diagonals are equal, and bisect each other at right angles.

A quadrilateral with one pair of opposite sides parallel is called a trapezium.

A trapezium in which the non-parallel sides are equal in length.

A quadrilateral with two pairs of adjacent sides equal and diagonals intersecting at right angles.

The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.

A line drawn through the midpoint of one side of a triangle parallel to another side bisects the third side.

(i) Opposite sides are equal, <br>(ii) Opposite sides are parallel,<br> (iii) Diagonals bisect each other, <br>(iv) One pair of opposite sides is equal and parallel.

Recent Posts

    --:-- ⏱ Time
    ⚡ Progress 0 / 50 answered

    QUADRILATERALS — Learning Resources

    📄 Detailed Notes
    ✔️ True / False
    📌 Exercise
    📝 Exercises
    Exercise-8.1 Exercise-8.2
    📚
    ACADEMIA AETERNUM तमसो मा ज्योतिर्गमय · Est. 2025
    Sharing this chapter
    NCERT Class 9 Quadrilateral 50 MCQs with Answers
    NCERT Class 9 Quadrilateral 50 MCQs with Answers — Complete Notes & Solutions · academia-aeternum.com
    Mastering the concepts of Quadrilaterals is crucial for building a strong foundation in geometry for Class 9 students. This collection of 50 multiple choice questions (MCQs) from NCERT Mathematics Chapter 8 – Quadrilaterals is designed to help learners test their conceptual understanding and prepare effectively for school exams, competitive tests, and Olympiads. Each question comes with detailed answers and explanations, ensuring that students can grasp important properties like parallelogram…
    🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
    Share on
    WhatsApp
    Telegram
    X / Twitter
    Facebook
    Instagram
    Threads
    Pinterest
    LinkedIn
    Quora
    Discord
    Reddit
    Email
    academia-aeternum.com/class-9/mathematics/quadrilaterals/mcqs/ Copy link
    💡
    Exam tip: Sharing chapter notes with your study group creates a reinforcement loop. Teaching a concept is the fastest path to mastering it.

    Get in Touch

    Let's Connect

    Questions, feedback, or suggestions?
    We'd love to hear from you.