SChand CLASS 9 Chapter 11 Rectilinear Figures Exercise 11(C)

 Exercise 11 C

QUESTION 1

Sol:  (i) Draw a line segment AB = 4cm

(ii) With center A and radius 8cm and with center B and radius 6cm. Draw arcs which intersect each other at C. 

(iii)Join AC and BC 

(iv) Again with center A and C and Radius 5.2cm draw two arcs intersecting each other at D.

(v)Join AD and CD 

ABCD is the required quadrilateral. 

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QUESTION 2

(i) Draw a line segment $P Q=3.5 \mathrm{~cm}$

(ii)With center P and radius 4.5 cm and with center Q and radius 5.5 cm , draw arcs intersecting each other at S. 

(iii) Join RS and QS 

(iv) Again with center S and radius 4.5 and with center Q and radius 5.5cm, Draw arcs intersecting each other at R. 

(V) Join PR, QR and RS.

That PQRS is the required quadrilateral on measuring PR = 7cm

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QUESTION 3

(i) Draw a line segment AB = 5cm

(ii) with center A and radius 5.5cm and center B and radius 4.2cm draw arcs intersecting each other at C.

(iii) Join AC and BC 

(iv) Again with center A and radius 3.5cm and Center B and radius 4.5cm draw arcs intersecting each other at D 

(v) Join AD and BD and CD 

Then ABCD is the required quadrilateral on measuring CD it is 2.5cm

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QUESTION 4

Sol: (i) Draw a line segment AB = 4cm

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(ii) At B, draw a ray BX making on angle of 120 and BC =4cm

(iii)With center A and radius 6cm and center C with radius 6cm, Draw arcs intersecting each other at D. 

(iv) Join AB and CB 

Then ABCD is the required quadrilateral 

QUESTION 5

Sol: (i) Draw a line segment BC = 6.5cm

(ii) At B, draw a ray BX making an angle of 130 and at C, a ray CY making another angle of 75 and Cut off CD = 6cm and AB = 4.6cm

(iii) Join AD 

Then ABCD is the required quadrilateral 

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QUESTION 6

(i) Draw a line segment QR =5cm

(ii) AT   Q , Draw a ray QX making an angle of $45^{\circ}$

(iii) AT R, draw another ray making an angle of 90 and cut Rs 7cm

(iv) Join PS, 

Note: This figure is not possible to draw correctly. 

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QUESTION 7

(i) Draw a line segment AB=3.5cm

(ii)At A, draw a ray AX making an angle of $55^{\circ}$ 

(iii) At D , draw another ray By making an angle of $105^{\circ}$ and cut off $B C=6.5 \mathrm{~cm}$.

(iv) AT C, draw another ray CZ making an angle of 120 which intersects AX at D.

Then ABCD is the required quadrilateral 

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QUESTION 8

Sol:$\angle Q=360^{\circ}-(\angle P+\angle R+\angle S)=360^{\circ}-\left(105^{\circ}+105^{\circ}+75^{\circ}\right)=360^{\circ}-285^{\circ}=75^{\circ}$

(ii) AT A, draw  a ray QX Making an angle of $75^{\circ}$ and cut off PQ=3.8cm

(iii) AT C draw another ray making a angle of $105^{\circ}$ and at R. Draw a ray making an angle of 105 meeting each others.

Then PQRS is the required quadrilateral.

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QUESTION 9

Sol: (i) Draw a line segment AB=5cm

(ii) With center A and radius 5.5cm and with center B and radius 2.5cm draw arcs intersecting each other at C,

(iii) Join $A C$ and $B C$.

(iv) At $A$ draw a ray AX  making an angle of $\mathrm{90}^{\circ}$

(V)With center C and radius 6cm draw an arc which intersects AX at D.

Then ABCD is required quadrilateral 

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QUESTION 10

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(i) Draw a line segment $B C=4 \mathrm{~cm}$.

(ii) AT B and C draw rays BX and CY Making 90 angle each

(iii) From CY Cut off CD = 4cm and from AX, Cut off BA = 6cm

 (iv) Join AD.

Then ABCD is the quadrilateral