Question

Can you draw a line of length 2.25 centimetres using a ruler? How about using ruler and compass?

Answer 1

Yes, we can draw a line segment of length 2.25 cm using a ruler.

A line segment of length 2.25 cm can be drawn using a ruler and compass by using the concept of perpendicular bisector of a line segment.

The steps of construction are as follows:

1) Draw a line segment AB of length 4.5 cm.

2) Take radius more than half the length of AB and mark arcs on the upper and lower sides of AB by taking A and B as the centres. Name the points of intersection as C and D.

3) Join CD and name the point on which it cuts the line AB as E.

Line segment AE, thus obtained, has length 2.25 cm.