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# Draw the perpendicular bisector of XY 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 XY , what can you say about the lengths MX and XY?

Q3.    Draw the perpendicular bisector of XY 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 XY , what can you say about the lengths MX and XY?

Views

The steps of constructions are:

(i) Draw a line segment $\bar{XY}$ = 10.3 cm

(ii) Taking X and Y as centres and radius more than half of AB, draw two arcs which intersect each other at C and D.

(iii) Join CD. Then CD is the required perpendicular bisector of $\bar{XY}$.

Now:

(a) Take any point P on the bisector drawn. With the help of divider, we can check that $\bar{PX}$=$\bar{PY}$.

(b) If M is the mid-point of $\bar{XY}$, then $\bar{MX} = \frac{1}{2}\bar{XY}$???????

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