CBSE Class 9 Mathematics Quadrilaterals VBQs

CBSE Class 9 Mathematics Quadrilaterals VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 9 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 9 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 9 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 9 CBSE, NCERT and KVS syllabus and examination pattern

VBQ for Class 9 Mathematics Chapter 8 Quadrilaterals

Class 9 Mathematics students should refer to the following value based questions with answers for Chapter 8 Quadrilaterals in Class 9. These VBQ questions with answers for Class 9 Mathematics will come in exams and help you to score good marks

Chapter 8 Quadrilaterals VBQ Questions Class 9 Mathematics 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.
 
                                                     CBSE%20Class%209%20VBQs%20Quadrilaterals%204.PNG
(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.
                                                          CBSE%20Class%209%20VBQs%20Quadrilaterals%206.PNG
(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 Areas Of Parallelograms And Triangles
CBSE Class 9 Mathematics Areas Of Parallelograms And Triangles VBQs
Chapter 10 Circles
CBSE Class 9 Mathematics Circles VBQs
Chapter 11 Constructions
CBSE Class 9 Mathematics Construction VBQs
Chapter 13 Surface Areas and Volumes
CBSE Class 9 Mathematics Surface Areas And Volume VBQs
Chapter 14 Statistics
CBSE Class 9 Mathematics Statistics VBQs
Chapter 15 Probability
CBSE Class 9 Mathematics Probability VBQs
VBQs for Class 9 Mathematics
CBSE Class 9 Mathematics Value Based Questions
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VBQs for Chapter 8 Quadrilaterals Class 9 Mathematics

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