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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°.

247 Views

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.

225 Views

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

943 Views

55.
Draw a rectangle PQRS in which PQ = 7.2 cm and QR = 5.4 cm.

Steps of construction:
I. Draw a line segment PQ = 7.2 cm.
II. At P, draw

space space space space space PX with rightwards arrow on top

such that

space space angle QPS space equals space 90 degree.

III. From PX, cut off PS = 5.4 cm.
IV. At Q, draw

space space space space QY with rightwards arrow on top

such that

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.
V. From QY, cut off QR = 5.4 cm.
VI. Join R and S.
Thus, PQRS is the required rectangle.

Steps of construction:I. Draw a line segment PQ = 7.2 cm.II.

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56. Draw a quadrilateral in which AB = 4.5 cm, BC = 5.1 cm, CD = 3.9 cm, ∠B = 90° and ∠C = 120°.

258 Views

57. Draw a square ABCD such that AB = 6.3 cm.

323 Views

58. Draw a parallelogram PQRS such that PQ = 6 cm and QR = 3.6 cm and PR = 8.1 cm.

820 Views