Question

Construct a quadrilateral ABCD, given that AB = 5.5 cm, BC = 4 cm, CD = 6 cm, <A = 60° and <B = 120° .
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Answer 1

We can define quadrilaterals as polygons that have four sides.

1. Construct quadrilaterals when four sides and one diagonal is given.

Construct a quadrilateral PQRS where PQ = 4 cm, Oq = 6 cm, RS = 5 cm, PS = 5.5 cm and PR= 7 cm

Quadrilaterals

Draw Δ PQR using SSS construction condition.

With P as the centre, draw an arc of radius 5.5 cm.

With R as the centre, draw an arc of radius 5 cm.

S is the point of intersection of the two arcs. Also, mark S and complete PQRS.

PQRS is the required quadrilateral.

2. Construct quadrilaterals when four sides and one diagonal is given.

Construct a quadrilateral ABCD where BC = 4.5 cm, AD = 5.5 cm, CD = 5cm and the diagonal AC = 5.5 cm, diagonal BD = 7 cm

Quadrilaterals

Draw ΔACD using SSS construction condition

Taking D as the centre, draw an arc of radius 7 cm.

Now let C be the centre, draw an arc of radius 4.5 cm

Since B lies on both the arcs, B is the point intersection of the two arcs.

Mark B and complete ABCD.

ABCD is the required quadrilateral

now follow the steps and complete ur question☺️

Answer 2

•draw a line segment ab 5.5

•draw an b is equal to 60 degree with the help of compass

•with b a Centre draw an Arc of force and which cut at point c

•draw C is equal to 120 degree with the help of protractor

•with a central draw an Arc of 5.5 CM which cut at point d

• join ab busy add DC 7th

•ABCD is a required coordinator

then your quadrilateral is ready thank you.......

Mahira