Question

Draw a circle and any two of its diameters.What figure is obtained if the diameters are perpendicular to each other?How do you check your answer?

Answer 1

$1.$Mark point $O$ as center.

$2.$Let us make a circle of radius $5$cm, we measure $5$cm using ruler and compass.

$3.$Now keeping compass opened the same length.We keep pointed end at the center,and draw a circle using the pencil end of the compass.So, this is the circle with center $O$ and radius $OP=5$cm

Taking diameters perpendicular to each other.

Let us draw two perpendicular diameters $AB$ and $CD$

joining ends of diameter

On measuring $AB=BC=AC=BD=6.3$cm

and $\angle A=\angle B=\angle C=\angle D={90}^{\circ }$

So, all sides are equal and all angles are ${90}^{\circ }$

$\therefore ABCD$ is a square.