Question

Draw a line segment 16 cm long and draw its perpendicular bisector. Measure the length of each part......[4 marks]

Answer 1

Let’s draw a perpendicular bisector to a 16 cm line segment:
Step 1:
Draw a line segment AB = 16 cm.
Step 2:
With A as centre, draw an arc of radius more than half of AB on both sides i.e above and below the line segment AB.
With B as centre, draw an arc of radius more than half of AB on both sides i.e above and below the line segment AB.
Both arcs are cut at C and D......[2 marks]
Step 3:
Join the point of intersections of two intersecting arcs i.e. C and D.
Line CD intersects the line segment AB at ‘O’.
Now measure the length of OA and OB which is OA = OB = 8 cm.
And angle COB = angle COA = 90°
Hence, CD is the perpendicular bisector of AB.
Here is the final diagram of construction of the perpendicular bisector of a line segment AB........[2 marks]