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

In this we are asked to divide it in 1:2 ratio

So, 1+2 = 3

3, number congruent of line segment is formed.

i. Firstly, we have to draw a line segment PQ of length 6 cm

Draw a line with an acute angle from point P

ii. Point the compass on P, and cut the new line with some radius

iii. Place the compass along the line and make 3 arcs. Since we need 3 congruent parts, and name the last one as “F”

iv. Take length of QF as radius draw an arc from P just below it. Again, take the length of PF as radius and draw an arc which cuts the previous arc from Q, name the intersection point as Q’. Connect Q and F

v. Taking the same length that we used in line PP’, draw arcs along QQ’

vi. Connect the points along PP’ and QQ’. Name the intercepts on the line PQ as J, K

vii. Thus we divided a line segment as PJ:JQ = 2:4

= 1:2