Question

Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, $\angle B={60}^{\circ }$ and $\angle A={120}^{\circ }$ [4 MARKS]

Answer 1

Steps : 1 Mark
Construction : 3 Marks

Steps of Construction:
1. Draw a line segment BC = 4.5 cm
2. At B , construct $\angle CBM={60}^{\circ }$ and from B cut an arc radius 4 cm. i.e., BA = 4cm
3. At A, construct $\angle BAP={120}^{\circ }$
4. With C as centre draw an arc of radius 4.7 cm, intersecting AP at D.
5. Join C and D
6. ABCD is the required quadrilateral.