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Question:

Construct the following quadrilaterals:
(i) Quadrilateral LIFT: LI = 4 cm, IF = 3 cm, TL = 2.5 cm, LF = 4.5 cm, IT = 4 cm
(ii) Quadrilateral GOLD: OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm
(iii) Rhombus BEND: BN = 5.6 cm, DE = 6.5 cm

Solution:

(i)Steps of constructions:

  1. Draw LI of length 4 cm.
  2. Cut an arc of 2.5 cm from L and 4 cm from I. Their point of intersection is T.
  3. Cut an arc of 4.5 cm from L and 3 cm from I. Their point of intersection is F.
  4. Join all the points. LIFT is the required quadrilateral.
    (ii)Steps of constructions:
  5. Draw OL of length 7.5 cm.
  6. Cut an arc of 10 cm from O and 5 cm from L. Their point of intersection is D.
  7. Cut an arc of 7.5 cm from L and 6 cm from D. Their point of intersection is G.
  8. Join all the points. GOLD is the required quadrilateral.
    (iii)Steps of constructions:
  9. Draw DE of length 6.5 cm.
  10. Draw a perpendicular bisector of DE. The point of intersection is O.
  11. Cut an arc of 2.8 cm from O on the perpendicular bisector both above and below DE. The points of intersection are B and N.
  12. Join all the points. BEND is the required rhombus.