Question

Construct a quadrilateral ABCD in which AB= BC = 3.0 cm, AD = CD =4.0 cm and angle ABC = 120 degree.

Answer 1

Step-by-step explanation:

1.) Draw line segment AB=3cm.

2.) Construct an angle of 120° at B. Extend the line to E.

3.) Measure 3cm with compass an cut an arc on line BE.

4.) Mark this point as C.

4.) Measure 4cm with compass and keeping the pointed end at C, draw an arc.

5.) Without changing the measurement, keep the point at A an cut an such that it cuts arc made at point C.

6.) Mark this point as D.

8.) Join the points.

9.) This is the required quadrilateral.