Draw the perpendicular bisector of a line segment of length 6.4 cm. Also, measure the length of each bisected part.
Draw the perpendicular bisector of a line segment of length 6.4 cm. Also, measure the length of each bisected part.
Step 1:Draw a line segment AB = 6.4 cm.
Step 2: Taking A and B as centres and with a radius more than 1/2 AB draw an arc on both sides of the centre of AB.
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.
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 = 3.2 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.
Step 1:Draw a line segment AB = 6.4 cm.
Step 2: Taking A and B as centres and with a radius more than 1/2 AB draw an arc on both sides of the centre of AB.
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.
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 = 3.2 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.
