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Practical Geometry

Short Answer Type

11. Construct the following quadrilateral.
quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm

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12. Construct the following quadrilateral.
Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm

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13. Construct the following quadrilateral.
Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm

Steps of construction:
I. Draw a line segment DE = 6.5 cm.
II. Draw perpendicular bisector PQ of DE such that M being the mid-point of DE.
III. With centre M and radius =

1 half cross times 5.6 space cm

= 2.8 cm, draw arcs to intersect PQ at B and N.
IV. Join ND, NE, BE and BD.
Thus, BEND is the required rhombus.
Steps of construction:I. Draw a line segment DE = 6.5 cm.II. Draw p

Steps of construction:I. Draw a line segment DE = 6.5 cm.II. Draw p

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14.

Construct a quadrilateral ABCD, given that BC = 4.5 cm, AD = 5.5 cm. CD = 5 cm, the diagonal AC = 5.5 cm and diagonal BD = 7 cm.
Can we draw the quadrilateral by drawing triangle ABD first and then find the fourth point C?

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