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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 midpoint of XY, what can you say about the lengths MX and XY?

Answers (1)

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The steps of construction 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 \bar{XY}.

Now:

(a) Take any point P on the bisector drawn. With the help of a 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}

Posted by

Divya Prakash Singh

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