QUADRILATERALS – EXERCISE 4.2.3 – Class 9

  1. Construct quadrilaterals to the given measurements, the order of the letters is each case is A.B.C.D

AB = 4.8cm. BC = 4.4cm. CD = 7cm. DA = 3.4cm. BD = 6.2cm.

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

Steps of construction

  1. Draw AB = 4.8cm.
  2. With A as centre and 3.4cm radius draw an arc.
  3. With B as centre and 6.2cm as radius drawn an arc to intersect the first at D.
  4. Join AD and BD.

 

  1. With B as centre and 4.4cm as radius drawn an arc.
  2. With D as centre and 7cm as radius draw an arc to intersect the above at C.
  3. Join DC and BC.

ABCD is the required quadrilateral


  1. AB = 6.3cm. CD = 6.5cm. BC = 3.8cm. AC = 4.5cm. AD = 3.6cm.

Solution:

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

Steps of construction:

  1. Draw AB = 6.3cm
  2. With A as centre and 4.5cm radius draw an arc.
  3. With B as centre and 3.8cm as radius drawn another arc to intersect the above at C.
  4. Join AC and BC.
  5. With C as centre and 6.5cm as radius drawn an arc.
  6. With A as centre and 3.6cm as radius draw another arc to intersect the above at D.
  7. Join AD and CD.

ABCD is the required quadrilateral.


  1. AB = CD = 5.2cm. BC = AD = 3.2cm. BD = 7.2cm.

Solution:

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

Steps of construction:

  1. Draw AB = 5.2cm
  2. With A as centre and 3.2cm radius draw an arc.
  3. With B as centre and 7.2cm as radius drawn another arc to intersect the above at D.
  4. Join AD and BD.
  5. With B as centre and 3.2cm as radius drawn an arc.
  6. With D as centre and 5.2cm as radius draw another arc to intersect the above at C.
  7. Join BC and DC.

ABCD is the required quadrilateral


  1. AC = 5.8cm. BD = 5cm. AB = 3.8cm. BC = 5.5cm. CD = 4.5cm

Solution:

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

Steps of construction:

  1. Draw AB = 3.8cm
  2. With A as centre and 5.8cm radius draw an arc.
  3. With B as centre and 5.5cm as radius drawn another arc to intersect the above at C.
  4. Join AC and BC.
  5. With B as centre and 5cm as radius drawn an arc.
  6. With C as centre and 4.5cm as radius draw another arc to intersect the above at D.
  7. Join CD, BD and AD.

ABCD is the required quadrilateral.


  1. AC = 5.8cm. BD = 5.6cm. AB = 3.5cm. AD = 4.9cm. CD = 4cm.

Solution:

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

 

Steps of construction:

  1. Draw AB = 3.5cm
  2. With A as centre and 4.9cm radius draw an arc.
  3. With B as centre and 5.6cm as radius drawn another arc to intersect the above at D.
  4. Join AD and BD.
  5. With A as centre 5.8cm as radius draw an arc.
  6. With D as centre and 4cm as radius draw another arc to intersect the above at C.
  7. Join DC, AC and BC.

ABCD is the required quadrilateral.


  1. AC= 6cm. BD = 5.8cm. AB = 3.4cm. AD = 5.2cm. BC = 4.2cm.

Solution:

QUADRILATERALS - EXERCISE 4.2.3 - Class 9

Steps of construction:

  1. Draw AB = 3.4cm
  2. With A as centre and 6cm radius draw an arc.
  3. With B as centre and 4.2cm as radius drawn another arc to intersect the above at C.
  4. Join AC and BC.
  5. With A as centre 5.2cm as radius draw an arc.
  6. With B as centre and 5.8cm as radius draw another arc to intersect the above at D.
  7. Join AD, BD and CD.

ABCD is the required quadrilateral


 

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