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
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