Construction of Parallelograms
(a) Two sides and an angle are given


(i) Draw AB = 5 cm and make ÐA = 60o
(ii) Cut AD = 3.3 cm (
AD = BC)
(iii) With B as centre and radius 3.3 cm, draw one arc and with D as centre and radius 5 cm cut that arc at C.
(iv) Join BC and DC.Then ABCD is the required parallelogram.
(b) Diagonals and the angle included by them are given


(ii) At O make ÐCOX = 60o and produce it both ways.
(iii) With O as centre and radius 3 cm cut OX at D and B.(iv) Join AB, BC, CD and AD.
Then ABCD is the required parallelogram.
(c) One side, diagonal and height are given


(ii) Draw AX
AB and on AX mark E such that AE = 2.5 cm.
(iv) With A as centre and radius 3.5 cm cut PQ at C.
(v) With C as centre and radius 4 cm cut CD = 4 cm.(vi) Join BC, AD.
Then ABCD is the required parallelogram.
Construction of a Rhombus
(a) Both the diagonals are given


(ii) Construct the perpendicular bisector XY at O.
(iii) With O as centre and radius 3 cm.(=
) cut XY at A and C.
Then ABCD is the required rhombus.

(b) One diagonal and one side are given


(ii) With A as centre and radius 3.8 cm, draw arcs on either side of AC.
(iii) With centre C and the same radius of 3.8 cm, cut these arcs at B and D.(iv) Join AB, BC, CD and AD.
Then ABCD is the required rhombus.
Construction of a Square
Diagonals are given



(ii) Construct XY which bisects AC at O.
(iii) With centre O and radius 2.6 cm ((=
BD), cut XY at D and B.
(iv) Join AB, BC, CD and AD.
(v) \ABCD is the required square.
Construction of a Rectangle



(i) Draw AC = 7 cm.
(ii) Construct its perpendicular bisector to obtain the midpoint O.(iii) At O, construct ÐCOX = 60o and produce it both ways.
(iv) With O as centre and radius 3.5 cm, cut OX at D and B.(v) Join AB, BC, CD and AD.
(vi) \ ABCD is the required rectangle.