Question

Draw the perpendicular bisector of $\overline{PQ}$ whose length is $9.5$ cm.

Take any point M on the bisector drawn. Examine whether $MP=MQ$.

Answer 1

STEP-1 To draw the perpendicular bisector.

Steps of construction-

1. Draw a line segment $PQ$ of length $9.5$ cm.

2. With $P$ as a centre, draw a arc on both sides of the line $PQ$ whose radius should be more than half of length of $PQ$.

3. With the same radius and $Q$ as centre, draw another arc cutting the previous arcs at $C$ and $D$ respectively.

4. Join $CD$.

Thus, $CD$ is the required perpendicular bisector.

STEP-2 Check whether $MP=MQ$.

1. Mark a point $M$ on CD and join $MP$ and $MQ$.

2. on measuring $MP$and $MQ$(using a rular), we get $MP=MQ$.

Thus, $MP=MQ$.