S K Gupta and Anubhuti Gangal Solutions for Exercise 3: Exercise

Draw a line segment of length $6 \text{cm}$. Construct its perpendicular bisector.

Draw a line segment of length $8.7 \text{cm}$. Construct its perpendicular bisector.

Draw a line segment of length $98 \text{mm}$. Construct its perpendicular bisector.

Draw a line segment $AB$, $10 \text{cm}$ long. Use ruler and compass to divide $AB$ into $4$ equal parts. What is the length of each part?

Draw a perpendicular bisector of a line segment $XY$ whose length is $11.2\text{ cm}$. Take a point $P$ on the right bisector drawn. Examine whether $PX=PY$.

Draw a perpendicular bisector of a line segment $XY$ whose length is $11.2\text{ cm}$. If $M$ is the midpoint of $XY$, what relation is there between the lengths $MX \text{and} XY$?