Q1 of 805 Page 12

Draw a line segment AB = 5 cm and draw its perpendicular bisector.

Steps of Construction:

1. Draw a line segment AB = 5 cm

2. With A as centre and radius equal to more than half of AB, draw two arcs, one above AB and one below AB.

3. With B as centre and the same radius draw two arcs which cut the previously drawn arcs at C and D.

4. Join CD, intersecting AB at E.

Therefore, CD is the perpendicular bisector of AB at point E.

Construct a quadrilateral ABCD∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.

Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm ∠P = 50°, ∠Q= 110° and ∠R = 70°.

Draw an angle of 45° using scale and compasses only. Draw the bisector of this angle.

Construct an angle of 90° and draw its bisector.