**QUADRILATERALS**

**Question. **

** **

**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**

**Δ**

**PQR which is formed by joining midpoints of sides of**

**Δ**

**ABC.**

**(a) Find the length of garland.**

**(b) What values are depicted here ?**

**Answer:**(a) RQ | | BC and RQ =1/2 BC

**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:**

**Question. ABCD is a rhombus where ΔADC=120°. There are two fire stations**

**at C and D and fire is reported at O.**

**(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)

**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.**

**(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

**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°.**

** **

**(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

**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.**

**(a) Is this distribution fair ? Justify it.**

**(b) What value is depicted here ?**

**Answer:**(a) Distribution is fair

^{2}= √100 - 36 = √64

^{2}

**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) IfÐ A=91°, ÐB=91°, ÐC=91° then ÐD < 90°

**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

**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

**Ð**A +

**Ð**D = 180°

**Ð**D = 180° – 45° = 135°

**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 :**

**(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

**Ð**ADB =

**Ð**DBC = y (alternate int. angles)

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