Quadrilaterals MCQs

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MCQs on Quadrilaterals Class 9

Class 9 Maths Chapter 8 MCQ on Quadrilaterals are made available here with answers, online. The questions here are prepared, according to the CBSE syllabus and NCERT curriculum. Students can prepare for their exams with the help of these objective questions to score good marks. The answers here are available with detailed explanations. 


Get all the chapter-wise MCQs at Vedantu and also check the Important Questions for Class 9 Maths. In this article, we are going to go through MCQ on Quadrilaterals. This MCQ on Quadrilaterals will help the students to get a brief about the topic.

 

Quadrilateral Definition (MCQ on Quadrilaterals)

A Quadrilateral is known to be a plane figure which has four sides or edges, it also has four corners or vertices. Quadrilaterals will normally be of standard shapes with four sides just like Rectangle, Square, trapezoid, and a Kite or irregular. In the article further, we are going to discuss MCQ on Quadrilaterals. There are a total of 10 MCQ on Quadrilaterals.

 

Types of Quadrilaterals

There are different types of Quadrilaterals. The word ‘Quad’ means four, and all these types of Quadrilaterals have four sides, the sum of the angles of these shapes is 360 degrees.

  1. Trapezium

  2. Parallelogram

  3. Squares

  4. Rectangle

  5. Rhombus

  6. Kite

  7. A Parallelogram Is a Quadrilateral where the opposite sides are parallel to each other. 

  8. A Rectangle is a Parallelogram where all the angles are equal to 90 degrees.

  9. A Rhombus is a Parallelogram where all four sides are equal.

  10. A Square is a Rectangle where all four sides are equal.

  11. A Trapezium is a Parallelogram where one pair of the opposite side is parallel to each other

  12. A Kite is a Parallelogram where Two pairs of adjacent sides are equal


Other way to Classify the types of Quadrilaterals are given below:

  1. Convex Quadrilaterals: Both diagonals of a Quadrilateral are completely put up within a figure.

  2. Concave Quadrilaterals: At least one of the diagonals is present partly/entirely outside of the figure.

  3. Intersecting Quadrilaterals: Intersecting Quadrilaterals are not simple Quadrilaterals where the pair of non-adjacent sides intersect. These kinds of Quadrilaterals are also known as the self-intersecting or crossed Quadrilaterals.

We will also discuss MCQ on Quadrilaterals in this article.


Area Formulas of Quadrilaterals

Quadrilateral Area Formulas

Area of the Square

(side)2

Area of the Kite

(1 ⁄ 2) × Product of Diagonals

Area of the Parallelogram

Base × Height

Area of the Rectangle

Length × Breadth


MCQ on Quadrilaterals Class 9

Solve the questions given below with four multiple options and choose the correct one from them. Given below are MCQ on Quadrilaterals. There are a total of 10 MCQ on Quadrilaterals.

1. The Quadrilateral Having All its Sides as an Equal and Angles Which are Equal to 90 Degrees, it is Called:

a. Rectangle

b. Square

c. Kite

d. Parallelogram

Ans: b


2. The Sum of All of the Angles for a Quadrilateral Equals :

a. 180°

b. 270°

c. 360°

d. 90°

Ans:


3. A Trapezium Has:

a. One pair of the opposite sides parallel

b. Two pair of the opposite sides which are parallel to each other

c. All of its sides are equal

d. All of the angles are equal

Ans: a

Explanation: A Trapezium has one pair of the opposite sides which are parallel to each other, and the other two sides are non-parallel. 


4. A Rhombus can be a:

a. Parallelogram

b. Trapezium

c. Kite

d. Square

Ans: d

 

5. A Diagonal of the Parallelogram Divides it Into Two Congruent:

a. Square

b. Parallelogram

c. Triangles

d. Rectangle

Ans: c


6. In a Parallelogram, the Opposite Angles are:

a. Equal

b. Unequal

c. Cannot be determined

d. None of the above

Ans:


7. The Diagonals of the Parallelogram:

a. Equal

b. Unequal

c. Bisect each other

d. Have no relation

Ans:


8. Each Angle of the Rectangle is:

a. More than 90°

b. Less than 90°

c. Equal to 90°

d. Equal to 45°

Ans:

Explanation: ABCD is a Rectangle, and ∠A equals 90°

AD || BC and AB is a transversal

∠ A + ∠ B equals 180° (Interior angles are on the same side of the transversal)

∠ A = 90°

So, ∠ B equals 180° – ∠ A equals 180° – 90° equals 90°

Now, ∠ C = ∠ A and ∠ D = ∠ B (Opposite angles of the Parallelogram)

So, ∠ C equals 90° and ∠ D equals 90°

Hence all sides are equal to 90°.


9. The Angles of the Quadrilateral are in Ratio 4: 5: 10: 11. The Angles are Given Below:

a. 36°, 60°, 108°, 156°

b. 48°, 60°, 120°, 132°

c. 52°, 60°, 122°, 126°

d. 60°, 60°, 120°, 120°

Ans: b

Explanation: x be the common angle between all the four angles of a Quadrilateral.

As per the angle sum property, we know that:

4x+5x+10x+11x = 360°

30x = 360°

x = 12°

Hence, angles are

4x = 4 (12) = 48°

5x = 5 (12) = 60°

10x = 10 (12) = 120°

11x = 11 (12) = 132°

 

10. If ABCD is a Trapezium in Which AB || CD and AD = BC, then:

a. ∠A = ∠B

b. ∠A > ∠B

c. ∠A < ∠B

d. None of the above

Ans:

Explanation: Draw a line through C which is parallel to DA and intersecting AB which was produced at E.

CE = AD (Opposite sides)

AD = BC (Given)

BC = CE

⇒ ∠CBE = ∠CEB

also,

∠A + ∠CBE equals 180° (Angles which are on the same side of the transversal and ∠CBE equals ∠CEB)

∠B + ∠CBE equals 180° ( As a Linear pair)

⇒ ∠A = ∠B

We have discussed MCQ on Quadrilaterals, let’s go through the frequently asked questions.


Types of Quadrilaterals 

In geometry, a Quadrilateral is any four-sided closed figure or a Polygon that has four edges and four corners.  following are some conventional definitions of the Quadrilaterals:


Quick Summary

  • A Quadrilateral is a closed shape Polygon

  • Quadrilateral Is formed by joining 4 non-Collinear points

  • Quadrilateral has the four sides

  • Quadrilateral has four angles

  • Quadrilateral has four corners and four edges

  • The sum of all interior angles of a Quadrilateral is equal to 360O.

  • The length of all four sides of a Quadrilateral can be equal or can be different.


Overview of Quadrilaterals and their properties

Here’s a table below, listing all properties of 4 Quadrilaterals, Square, Rectangle, Rhombus and Parallelogram. A detailed comparison of all 4 Quadrilaterals is given below. 

Property

Square

Rectangle

Parallelogram

Rhombus

Angles

Each angle is equal to 90o

Each angle is equal to 90o

Opposite angles are equal 

Two pairs of opposite angles are equal 

Sides

All four sides are equal and two pairs of opposite sides are parallel to each other


two pairs of opposite sides are parallel to each other


Sides are equal and parallel to each other

All four sides are equal and two pair of opposite sides are parallel to each other

Congruence of Diagonals 

Yes

Yes

No

No

Do Diagonals Bisect Each Other?

Yes

Yes

Yes

Yes

Is Diagonal perpendicular to each other?

Yes

No

No

Yes

Perimeter

4l (l= length of a side)

2(l +b) where l is length and b is the breadth of Rectangle

A+b+c+d where a, b, c, d are the length of sides of Parallelogram 

4l (l= length of a side)

Area

L2  where L is the length of the side

L x b where l & b are length and breadth of Rectangle

b x h where b and h are base and height of Parallelogram

½ d1 x d2 where d1 and d2 are the lengths of diagonals of a Rhombus


This was all about Quadrilaterals, types and properties. For more such information, access free resources available on the Vedantu website useful for the state board, CBSE, ICSE, and competitive examinations. All NCERT Solutions for all subjects are available on the Vedantu website.

FAQs on Quadrilaterals MCQs

1. What are the Quadrilaterals?

Quadrilaterals

  • Rectangle-  Opposite sides are parallel and equal.

  • Square -The opposite sides are parallel and all the sides are equal.

  • Parallelogram - Opposite sides are parallel and equal. ...

  • Rhombus - All of the sides are equal and the opposite sides are also parallel. 

  • Trapezium - A Trapezium has one pair of opposite sides which are parallel.

  • Kite.

2. What are the Properties of the Quadrilaterals?

There are two properties for the Quadrilaterals: A Quadrilateral should be of a closed shape with 4 sides. All the internal angles of a Quadrilateral add up to 360°. Here are the properties of the Parallelogram

  • Opposite angles are equal.

  • Opposite sides are equal and parallel.

  • Diagonals bisect each other.

  • Sum of any two adjacent angles is 180°

3. What are the Four Types of Quadrilaterals?

Types of Quadrilaterals are:

Quadrilaterals are also often Classified as Parallelograms, Squares, Rectangles, and Rhombuses. Square, Rectangle, and Rhombus are also to be Parallelograms.

4. What is the Quadrilateral Formula?

Five different types of formulas are used to calculate the area of the Quadrilateral.

Area for the Formulas of Quadrilaterals.

Quadrilateral Area Formulas

Area of a Square

(side)²

Area of a Kite

(1 ⁄ 2) × Product of Diagonals

Area of a Parallelogram

Base × Height

Area of a Rectangle

Length × Breadth

5. How to identify a Quadrilateral?

A Quadrilateral is a closed shape Polygon having four sides 4 edges and 4 corners. To identify any figure as a Quadrilateral there are some norms that it must follow. The norms are as follows:

  • The figure should have four sides four angles four edges and four corners

  • The sum of the interior angle of the shape must be equal to 360o

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