Construct a quadrilateral ABCD, where AB = 5 cm, CD = 4 cm, DB = 7cm, BC = 6 cm and DA = 5.5 cm.

5

(a)

Construct a quadrilateral ABCD, given that AB=7.5 cm, BC = 5 cm, CD=6 cm, BD=6 cm and AC = 10 cm.

5

(a)

Costruct a quadrilateral ABCD such that AB=2 cm, BC=3.6 cm, AD=3.2 cm, \(\angle \)A=90° and \(\angle \)B=120°.

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(a)

Draw a rhombus ABCD having their diagonals of lengths BD = 6 cm and AC = 8 cm.

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(a)

How will you construct a rectangle PQRS, if you know only the lengths PQ and QR?

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(a)

Construct the following quadrilaterals. Rhombus BEST BE = 4.5 cm, ET = 6 cm

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(a)

Construct the following quadrilaterals. Quadrilateral LIFT LI = 4 cm, IF = 3 cm, TL = 2.5 cm, LF = 4.5 cm, IT = 4 cm

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(a)

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

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(a)

Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.

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(a)

A park is in the shape of a quadrilateral as shown below:

Let the vertices of park be P, A, R, K. A running track is constructed at the corner of each sides of the park as shown above.
A runner runs on the track and see that the distance covered by him from P to A and A to R is same as the distance covered by him from R to K and K to P. He also, finds that the distance of A from P is less than distance of K from P.
(a) What is the shape of the quadrilateral park?
(b) What should be the angle between the two tracks AO and OR?
(c) What type of value you depicted from the park?

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(a)