Question

Draw a line segment of length 10 cm. Divide it into four equal parts. Measure each of these parts.

Answer 1

Steps of construction:

(i) Draw a line segment AB = 10 cm.

(ii) With A and B as centres and radius more than `1/2 (AB)`, draw arcs on each side AB, these arcs cuts each other at R at S.

(iii) Join RS, which cuts AB at a point O.

(iv) Now, with centres A and O and radius more than `1/2 (AO)`, draw arcs on each side of AB, these arcs cuts each other at P and Q.

(v) Join PQ, which cuts AB at M.

(vi) Similarly, with centres B and O and radius more than `1/2 (BO)`, draw arcs on each side of AB, these arcs cuts each other at T and U.

(vii) Join TU, which cuts AB at N. Thus the measurement of each i.e., AM, MO, ON and NB is equal to 2.5 cm.