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Practical Geometry

Short Answer Type

51. Construct a quadrilateral ABCD, where AB = 4.3 cm, BC = 5.2 cm. CD = 6.5 cm, ∠B = 105° and ∠C = 60°.

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52. Construct a quadrilateral PQRS where PQ = 5.4 cm. ∠P = 60°, ∠Q = 105°, ∠R = 75° and ∠S = 120°.

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Long Answer Type

53. Construct a quadrilateral ABCD such that AB = 4.5 cm, BC = 3.2 cm, CD = 5 cm, DA - 2.6 cm and BD = 4.5 cm.

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54. Draw a rhombus ABCD such that BD = 5.6 cm and AC = 6.6 cm.

Steps of construction:
I. Draw a line segment AC = 6.6 cm.
II. Draw perpendicular bisector XY of AC, which meets AC at M.
III. With centre M and radius =

1 half cross times 5.6 space cm comma

i.e. 2.8 cm, draw arcs to intersect XY at B and D.
IV. Join AB, BC, CD and AD.
Thus, ABCD is the required rhombus.

Steps of construction:I. Draw a line segment AC = 6.6 cm.II.