Question

Draw line segments of the lengths given below and draw their perpendicular bisectors.

$\left(1\right)5.3cm$

$\left(2\right)6.7cm$

$\left(3\right)3.8cm$

Answer 1

$\left(1\right)5.3cm$
Steps of construction:
1. Draw line segment $AB=5.3cm$.
2. With $A$ as centre and radius more than half of $AB$, mark two arcs, one above and other below the line $AB$.
3. With $B$ as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as $X$ and $Y$.
4. Join $XY$ and name the point where this line cuts $AB$ as point $P$.
$XY$ is the perpendicular bisector of $AB$.

$\left(2\right)6.7cm$
Steps of construction:
1. Draw line segment $CD=6.7cm$
2. With C as centre and radius more than half of $CD$, mark two arcs, one above and other below the line $CD$.
3. With $D$ as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as $A$ and $B$.
4. Join $AB$ and name the point where this line cuts $CD$ as point $Q$.
AB is the perpendicular bisector of $CD$.

$\left(3\right)3.8cm$
Steps of construction:
1. Draw line segment $XY=3.8cm$.
2. With $X$ as centre and radius more than half of $XY$, mark two arcs, one above and other below the line $XY$.
3. With $Y$ as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as $A$ and $B$.
4. Join $AB$ and name the point where this line cuts $XY$ as point $R$.
$AB$ is the perpendicular bisector of $XY$.