Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Practical Geometry, Exercise 4: ASSIGNMENT 13.3

The number of perpendicular bisector a line segment can have is 

A perpendicular to a line through a point not on it can be drawn with the help of  

With the help of set-square or protractor, determine which of the following are perpendicular to each other?

(i) 

(ii) 

(iii) 

Draw a line segment $AB$. Mark any point $C$, on it. Through $C$, draw a perpendicular to $\overline{AB}$: using compass

Draw a line segment $CD=8 \mathrm{cm}$. Mark any point $P$ outside the $\overline{CD}$. Draw a perpendicular from $P$ to line segment $CD$ and measure the perpendicular distance from $P$.

Draw a line segment $AB=8.5 \mathrm{cm}$. Taking a point $C$ on $\overline{AB}$ such that $\overline{BC}=5 \mathrm{cm}$, draw a perpendicular to $\overline{AB}$ at $C$.

Draw a line segment $XY$ of length $8.5 \mathrm{cm}$. Mark any point $P$ outside it. Now, draw a perpendicular $\overline{PQ}$ on $\overline{XY}$.

Draw a line segment $\mathrm{XY}=4.9 \mathrm{cm}$. Mark any point $\mathrm{P}$ outside $\overline{\mathrm{XY}}$. Draw a perpendicular from $\mathrm{P}$ to the line segment $\mathrm{XY}$ and measure the perpendicular distance from $\mathrm{P}$.