Question

Draw a line segment PQ = 4.5 cm and construct its perpendicular bisector by using ruler and compass.

Answer 1

∠PMY = ∠QMY = 90° 

So, PQ ⊥ XY

1. Draw a line segment PQ of length 4.5 cm.

2. Draw two arcs with centre P and radius > 1/2 PQ on both sides of PQ. 

3. Repeat step 2 with centre ‘Q’ intersecting the previous arc at X and Y. 

4. Join X and Y and produce it on either sides to form \(\overrightarrow {XY}\). 

5. XY is the perpendicular bisector of PQ.