Question

Draw a line segment AB and bisect it . Take one of the equal parts and bisect that to obtain a line segment half length 1/4 AB . Also , obtain a line segment of length 3/4 AB .​

Answer 1

Step-by-step explanation:

Answer

Draw a line segment AB.

(i) With A as centre and radius more than half of AB , draw arcs on both sides of AB.

(ii) With the same radius and B as centre, draw arcs cutting the arcs drawn in step (i) at P and Q.

(iii) Join P and Q. PQ intersects AB at C.

(iv) With A as centre and radius more than half of AC, draw arcs on both sides of AC.

(v) With the same radius and C as centre, draw arcs cutting the arcs drawn in step (iv) at R and S.

(vi) Join R and S. RS intersects AB at D.

Now, AC and CB are equal.

Both are

2

1

(AB). Again, divide AC at D.

So, AD and AC are of same length, i.e.,

4

1

(AB).

Answer 2

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