Exercise 1

Two squares of side $3 \mathrm{cm}$ each and one of them rotated through $45°$ are congruent.

Any two right triangles with hypotenuse $5 \mathrm{cm}$, are congruent.

Any two circles of radii $4 \mathrm{cm}$ each are congruent.

Two equilateral triangles of side $4 \mathrm{cm}$ each but labeled as $△\mathrm{ABC}$ and $△\mathrm{LHN}$ are not congruent.

Mirror image of a polygon is congruent to the original.

Draw a polygon on a square dot sheet. Also draw congruent figures in different directions and mirror image of it.

Standing at $5 \mathrm{m}$ apart from a vertical pole of height $3 \mathrm{m}$, Sudha observed a building at the back of the pillar that tip of the pillar is in line with the top of the building. If the distance between pillar and building is $10 \mathrm{m}$ and the height of the building is $H \mathrm{m}$, then find the value of $H$. [Here height of Sudha is neglected]

Draw a quadrilateral of any measurements. Construct a dilation of scale factor $3$. Measure their corresponding sides and verify whether they are similar.