Question

Draw the perpendicular bisector ofwhose length is 10.3 cm.

(a) Take any point P on the bisector drawn. Examine whether PX = PY.

(b) If M is the mid point of, what can you say about the lengths MX and XY?

Answer 1

(1) Draw a line segment of 10.3 cm.

(2) Taking point X as centre, draw a circle by using compasses. The radius of circle should be more than half the length of .

(3) With the same radius as before, draw another circle using compasses while taking point Y as centre. Let it cut the previous circle at A and B.

(4) Join. is the axis of symmetry.

(a) Take any point P on . We will find that the measures of the lengths of PX and PY are same.

It is because is the axis of symmetry. Hence, any point lying on will be at the same distance from both the ends of.

(b) M is the mid-point of. Perpendicular bisector will be passing through point M. Hence, length ofis just double of.

Or, 2MX = XY