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?

Question

Philoid · Accepted Answer

Steps of Construction-

1. Draw a line segment XY = 10.3 cm

2. Taking X and Y as centres and radius more than half of XY, draw two arcs on both the sides of XY which intersect each other at C and D.

3. Join CD. Then CD is the perpendicular bisector of XY.

On measuring PX and PY by ruler, we may find that PX = 5.15 cm = PY.

If M is a mid-point then MX = MY = 5.15 cm

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?