Punjab Board Solutions for Chapter: Practical Geometry, Exercise 5: EXERCISE 14.5

Draw the perpendicular bisector of $\stackrel{-}{\mathrm{X}\mathrm{Y}}$ whose length is $10.3 \mathrm{c}\mathrm{m}.$
Take any point $\mathrm{P}$ on the bisector drawn. Examine whether $\mathrm{P}\mathrm{X}=\mathrm{P}\mathrm{Y}.$
 

Draw the perpendicular bisector of $\stackrel{-}{\mathrm{X}\mathrm{Y}}$ whose length is $10.3 \mathrm{c}\mathrm{m}.$

If $\mathrm{M}$ is the mid-point of $\stackrel{-}{\mathrm{X}\mathrm{Y}},$ what can you say about the lengths $\mathrm{M}\mathrm{X}$ and $\mathrm{X}\mathrm{Y}?$

Draw a line segment of length $12.8 \mathrm{c}\mathrm{m}.$ Using compasses, divide it into four equal parts. Verify by actual measurement.

With $\mathrm{PQ}$ of length $6.1 \mathrm{c}\mathrm{m}$ as diameter, draw a circle.

Draw a circle with centre $\mathrm{C}$ and radius $3.4 \mathrm{c}\mathrm{m}.$ Draw any chord $\mathrm{AB}.$ Construct the perpendicular bisector of $\mathrm{AB}$ and examine if it passes through $\mathrm{C}.$

Draw a circle with centre $\mathrm{C}$ and radius $3.4 \mathrm{c}\mathrm{m}.$ Draw a diameter $\mathrm{AB}.$ Construct the perpendicular bisector of $\mathrm{AB}$ and examine if it passes through $\mathrm{C}.$

Draw a circle of radius $4 \mathrm{c}\mathrm{m}$. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Draw any angle with vertex $\mathrm{O}.$ Take a point $\mathrm{A}$ on one of its arms and $\mathrm{B}$ on another such that $\mathrm{O}\mathrm{A}=\mathrm{O}\mathrm{B}.$ Draw the perpendicular bisectors of $\mathrm{OA}$ and $\mathrm{OB}.$ Let them meet at $\mathrm{P}.$ Is $\mathrm{P}\mathrm{A}=\mathrm{P}\mathrm{B}?$