Draw the perpendicular
bisector of
whose
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?
(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
