Construct the following quadrilaterals.

(i) Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

(i) A rough sketch can be drawn.

Step 1: Draw DE of 5 cm.

[We will take AE as base since both points have angles so that it will get easier in the later part.]

Step 2: At point E and A we draw 60° and 90° respectively.

Step 3: From point D and E, we draw arcs of measurement of 4cm and 4.5 cm respectively such that they intersect at point R and A.

Step 4: Join AR.

(ii) A rough diagram will make it easier to do construction.

Step 1:

We will draw base of RU = 3 cm

Step 2: At point R and U we will draw angles of 75° and 120° respectively.

Step 3: Taking point R and U as center we draw arcs measuring of 3.5 cm and 4 cm respectively.

Step 4: Join TE.