Draw a line segment PQ of length 8cm. Find 1/4 PQ using compass.

STEP I: Draw a line segment PQ = 8 cm using ruler.

STEP II: Place the compass point on P and adjust the compass to just over half the line length.

STEP III: Without adjusting the compass width, draw an arc on each side of the line.

STEP IV: Without changing the compass width, repeat for the other end of the line.

STEP V: Draw a straight line between the two arc intersections.

STEP VI: This straight line is the perpendicular bisector of line PQ at M.

STEP VII: Similarly draw a perpendicular bisector of the line PM at intersecting the line PQ at L.

Therefore the length of PL = $\frac{1}{4}\left(\mathrm{PQ}\right)$

**
**