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.

Using a square dot sheet or a graph sheet draw a rectangle and construct a similar figure. Find the perimeter and areas of both and compare their ratios with the ratio of their corresponding sides.

$7$ pillars are used to hold a slant iron gudder as shown in the figure. If the distance between every two pillars is $1 \mathrm{m}$ and height of the last pillar is $10.5 \mathrm{m}$. Find the height of first pillar.

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]