CBSE Class 9 Mathematics Quadrilaterals VBQs

Read and download the CBSE Class 9 Mathematics Quadrilaterals VBQs. Designed for the 2025-26 academic year, these Value Based Questions (VBQs) are important for Class 9 Mathematics students to understand moral reasoning and life skills. Our expert teachers have created these chapter-wise resources to align with the latest CBSE, NCERT, and KVS examination patterns.

VBQ for Class 9 Mathematics Chapter 8 Quadrilaterals

For Class 9 students, Value Based Questions for Chapter 8 Quadrilaterals help to apply textbook concepts to real-world application. These competency-based questions with detailed answers help in scoring high marks in Class 9 while building a strong ethical foundation.

Chapter 8 Quadrilaterals Class 9 Mathematics VBQ Questions with Answers

QUADRILATERALS

 

Question.                                                         

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There is a visit in a school by Directorate of Education. Girls are asked to prepare Rangoli in triangular shape. Dimensions of Δ ABC are 26 cm, 28 cm, 25 cm. Garland is to be placed along the side of ΔPQR which is formed by joining midpoints of sides of ΔABC.
 
(a) Find the length of garland.
 
(b) What values are depicted here ?
 
Answer: (a) RQ | | BC and RQ =1/2  BC
                   
(Mid pt. theorem)
 
=RQ = 14 cm
 
QP = 12.5 cm
 
PR = 13 cm
 
Perimetre = 14+12.5+13
 
= 39.5 cm
 
(b) Beauty, happiness, co-operation
 
Question. A class teacher gave students coloured papers in the shape of quadrilateral. She asked them to make parallelogram from it using paper folding.
 
(a) How can a parallelogram be formed by using paper folding ?
 
(b) Prove that it is a parallelogram.
 
(c) What values are depicted here ?
 
Answer:
                                                  
                                               CBSE%20Class%209%20VBQs%20Quadrilaterals%202.PNG
(a) By joining mid pts. of sides of a quadrilateral.
 
(b) In ΔABD
 
P & Q are mid point of AB and AD
 
there for , PQ || BD & PQ 1/2 BD                ......................(i) (Mid point theorem)
 
similarly, RS || BD & RS 1 BD                     .......(ii)
 
from (i) & (ii) PQRS is a parallelogram
 
(c) Curiosity, Happiness, Scientific Temper
 
Question. ABCD is a rhombus where ΔADC=120°. There are two fire stations at C and D and fire is reported at O.   
                                             CBSE%20Class%209%20VBQs%20Quadrilaterals%203.PNG 
(a) Which fire station team can reach early and why ?
 
(b) Which value is depicted here ?
 
Answer: (a) D will send the team early ODC = 60° & OCD = 30° Ð OC > OD (side opp. to larger angle is longer)
 
(b) Serving the people with honesty
 
Question. Sohan wants to show gratitude towards his teacher by giving her a cardmade by him. He has three pieces of trapezium pasted one above the other as shown in the fig. These pieces are arranged in a way that AB || HC || GD || FE. Also BC=CD=DE and GF=6 cm. He wants to decorate the card by putting up a coloured tape on non parallel sides of trapezium.
 
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(a) Find the total length of coloured tape required if DE = 4cm.
 
(b) Which value is depicted by the student ?
 
Answer: (a) AB || HC || GD || FE and BC = CD = DE
 
= AH = HG = GF
 
(given three parallel lines making equal intercepts on any transversal then they will make equal intercepts on other transversal also)
 
threre for, AF+FE = 18+12 = 30 cm
 
(b) Happiness, beauty, knowledge
 
Question. A farmer has a field in the form of a parallelogramABCD. One of his cow is suffering from some disease. To take good care of her, he tied the cow at one corner of the field. The corner angle of the field is 65°.
 

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(a) Find all the other three angles of the field.
 
(b) Explain the values depicted here.
 
Answer: (a) ÐA =ÐC = 65°ÐB = 180° – 65° =115° = ÐD
 
(b) Helpfulness, caring for every one
 
Question. A chocolate is in the form of a quadrilateral with sides 6 cm, 10 cm, 5 cm, 5 cm is cut into two parts along one of its diagonals by a lady. Part I is given to her maid and part II is equally divided among her driver and maali.
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(a) Is this distribution fair ? Justify it.
 
(b) What value is depicted here ?
 
Answer: (a) Distribution is fair
 
(b) BD √ AD² - AB2 = √100 - 36 = √64
 
BD = 8 cm
 
ar (ABD)  =1/2* 6* 8
 
= 24 cm2
 
ar (BCD)
        
S=a+b+c/2 5+5+8/2 = 9 cm
 
area = √9* (9 - 5)*(9 - 5)*(9 -8)
 
=√ 9 *4* 4*1
 
 = 12 cm2
 
(c) Helpfulness, Caring
 
Question. While analysing properties of quadrilateral a child says that all angles of a quadrilateral can not be obtuse.
 
(a) Justify his answer.
 
(b) What value is depicted in this activity ?
 
Answer: (a) IfРA=91°, ÐB=91°, ÐC=91° then ÐD < 90°
as ÐA+ÐB+ÐC+ÐD = 360°
 
(b) Scientific temper, knowledge
 
 
Question. During Maths Lab Activity each student was given four broom sticks of lengths 8 cm, 8 cm, 5 cm, 5 cm to make different types of quadrilaterals.
 
(a) How many quadrilaterals can be formed using these sticks.
 
(b) Name the types of quadrilaterals formed.
 
(c) While doing this activity which value is depicted ?
 
Answer: (a) Three type of quadrilaterals can be formed
 
(b) Rectangle, parallelogram, kite
 
(c) Scientific temper, curiosity
 
Question. In a trapezium ABCD   DC || AB and ÐA=ÐB=45°. teacher asked the student to find ÐD.Naresh answered it as 135°
 
(a) Is the answer correct ? Justify it.
 
(b) Which value is depicted here ?
                                             
Answer: (a) DC | | AB
 
=ÐA +ÐD = 180°
 
=ÐD = 180° – 45° = 135°
 
(b) Scientific temper, truth value
 
Question. While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown in the fig. Teacher gave them three options as :
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(i) x > y (ii) x < y (iii) x = y
 
Beena gave the answer as x < y
 
(a) Is this the correct answer ?
 
(b) Justify the answer with suitable logic.
 
(c) What is the value depicted in this ?
 
Answer: (a) Yes
 
(b) ÐADB =ÐDBC = y (alternate int. angles)
 
since BC < CD (angle opp. to smaller side is smaller)
 
there for, x < y
 
(c) Truth value
 
Chapter 01 Number System
CBSE Class 9 Mathematics Number System VBQs
Chapter 02 Polynomials
CBSE Class 9 Mathematics Polynomials VBQs
Chapter 03 Coordinate Geometry
CBSE Class 9 Mathematics Coordinate Geometry VBQs
Chapter 04 Linear Equations In Two Variables
CBSE Class 9 Mathematics Linear Equations VBQs
Chapter 08 Quadrilaterals
CBSE Class 9 Mathematics Quadrilaterals VBQs
Chapter 09 Circles
CBSE Class 9 Mathematics Circles VBQs
Chapter 11 Surface Areas and Volumes
CBSE Class 9 Mathematics Surface Areas And Volume VBQs
Chapter 12 Statistics
CBSE Class 9 Mathematics Statistics VBQs
VBQs for Class 9 Mathematics
CBSE Class 9 Mathematics Value Based Questions
~ Class 9 Mathematics (Old Chapters)
CBSE Class 9 Mathematics Areas Of Parallelograms And Triangles VBQs
CBSE Class 9 Mathematics Construction VBQs
CBSE Class 9 Mathematics Probability VBQs

Important Practice Resources for Class 9 Mathematics

VBQs for Chapter 8 Quadrilaterals Class 9 Mathematics

Students can now access the Value-Based Questions (VBQs) for Chapter 8 Quadrilaterals as per the latest CBSE syllabus. These questions have been designed to help Class 9 students understand the moral and practical lessons of the chapter. You should practicing these solved answers to improve improve your analytical skills and get more marks in your Mathematics school exams.

Expert-Approved Chapter 8 Quadrilaterals Value-Based Questions & Answers

Our teachers have followed the NCERT book for Class 9 Mathematics to create these important solved questions. After solving the exercises given above, you should also refer to our NCERT solutions for Class 9 Mathematics and read the answers prepared by our teachers.

Improve your Mathematics Scores

Daily practice of these Class 9 Mathematics value-based problems will make your concepts better and to help you further we have provided more study materials for Chapter 8 Quadrilaterals on studiestoday.com. By learning these ethical and value driven topics you will easily get better marks and also also understand the real-life application of Mathematics.

Where can I download latest CBSE VBQs for Class 9 Mathematics Chapter 8 Quadrilaterals

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What are VBQs for Class 9 Mathematics Chapter 8 Quadrilaterals

Value Based Questions (VBQs) for Class 9 Mathematics Chapter 8 Quadrilaterals help to test the ability of students to apply learnings to various situations in life.