Geometry Constructions

Question

Draw a line segment of length 6.8 cm, using compass divide it into four equal parts, verify by actual measurement

Answer 1

Length of a line segment = 6.8 cm

If we construct a perpendicular bisector then line segment will become 2 part.

Length of each part = \(\frac{6.8}2 = 3.4 \ cm\)

Again we construct a perpendicular bisector then each 3.4 cm line segments will become 2 parts.

That means total 2 + 2 = 4 equal parts.

Length of each line segment = \(\frac {3.4}2 =1.7\)

So, total four equal parts = 1.7 + 1.7 + 1.7 + 1.7 = 6.8 cm

Hence, the length of each part is  1.7 cm.