Construct the following quadrilateral (I) quadrilateral …

To construct a quadrilateral it is necessary to know at least 5 of its parts.

Measurement of 5 parts of a quadrilateral are sufficient to construct it in the following cases:

1. Four sides and one Diagonal.

2. Three sides and both diagonals.

3. Two adjacent sides and 3 angles.

4. Three sides and two included angles.

5. Four sides and one angle.

It is always convenient and helpful to draw a rough sketch of the quadrilateral and indicate the given measurements.

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[ Figure is in the attachment]

Steps of construction:

(a) Draw a line segment LI = 4 cm.

(b) Taking radius 4.5 cm, draw an arc taking L as centre.

(c) Draw an arc of 3 cm taking Las centre which intersects the first arc at F.

(d) Join FI and FL.

(e) Draw another arc of radius 2.5 cm taking L as centre and 4 cm taking I as centre which intersect at T.

(f) Join TF, Tl and TI.

It is the required quadrilateral LIFT