Question

Question 3 (a)

Draw the perpendicular bisector of $\overline{XY}$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

Answer 1

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line segment.

Steps of construction:

(i) Draw a line segment $\overline{XY}$ = 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 $\overline{XY}$
Take any point P on the bisector drawn. With the help of divider we can check that$\overline{PX}=\overline{PY}$