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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

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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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15. Can you construct a quadrilateral PQRS with PQ = 3 cm, RS = 3 cm. PS = 7.5 cm, PR = 8 cm and SQ = 4 cm? Justify your answer.

Yes, a quadrilateral PQRS can be drawn using PQ = 3 cm, RS = 3 cm, PS = 7.5 cm, PR = 8 cm and SQ = 4 cm.

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16. Construct the following quadrilateral:
Quadrilateral MORE
MO = 6 cm
OR= 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°

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Long Answer Type

17. Construct the following quadrilateral:
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°

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Short Answer Type

18. Construct the following quadrilateral:
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°

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19. Construct the following quadrilateral:
Rectangle OKAY
OK = 7 cm
KA = 5 cm

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20. Can you construct the following quadrilateral MIST if we have 100° at M instead of 75°?

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