Question

Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 3 cm, CD = 4 cm and $\angle C={120}^{\circ }$ and $\angle B={75}^{\circ }$. [4 MARKS]

Answer 1

Steps of constructions : 1 Mark
Construction : 3 Marks

Steps of Construction:

1. Draw a line segment BC = 3cm.
2. At C construct a ${120}^{\circ }$ angle and draw a ray.
3. With C as centre draw an arc at the length of 4 cm. Let this line segment be CD. ie, CD = 4 cm.
4. At B construct a ${75}^{\circ }$ angle and draw a ray.
5. With B as centre draw an arc at the length of 3.5 cm. Let this line segment be BA. ie, BA = 3.5 cm.
6. Join AD to complete quadrilateral ABCD.