Question

Divide seg PQ of length 6 cm in the ratio 1 : 2.

Answer 1

The seg PQ of length 6 cm can be divided in the ratio 1:2 in the following way.
Steps of construction:
1. Draw a line segment PQ of length 6 cm.
2. Divide the segment into (2 + 1 = 3) congruent parts.
3. Name the points of division P₁ and P₂ on the line segment.
4. As the segment PQ has been divided in three congruent parts, the length of seg PP₁ is half the length of seg P₁Q.

So, P₁ is the point on PQ that divides the line segment PQ in the ratio 1:2.