Question

Draw a circle with center at point O and radius 5 cm. Draw its chord AB, the perpendicular bisector of line segment AB. Does it pass through the center of the circle?

Answer 1

Step 1: Draw a circle choosing radius 5 cm and point O as center. 

Step 2: Draw a chord AB using scale. 

Step 3: Draw arcs one on each side of chord chossing A as center and radius more than half of 5 cm. 

Step 4: Repeat step 3 using B as a centre and make sure these arcs cut the previous arcs. 

Step 5: Join P and Q.

Therefore PQ is a perpendicular bisector of chord AB passes through the center of the circle.