Question

Q.No.10:- Construct a line segment PQ whose length is equal to the sum of the lengths of
line segment AB and CD, where line segment AB = 2.9 cm and line segment CD = 4.1 cm.​

Answer 1

Answer:

Draw a line l. Mark a point on the line l.

Step 2: Place the compasses pointer on the zero mark of the ruler. Open it to place the pencil point upto 3.9 cm.

Step 3: Taking caution that the opening of the compasses has not changed, place the pointer on A and swing an arc to cut l at B.

Step 4: segment AB is a line segment of required length.

Step-by-step explanation:

Draw line segment CD of any length.

Step 2: Fix the compasses pointer on C and the pencil end on D. Now this opening of the compasses gives the length of segment CD.

Step 3 : Draw a line l. Mark a point A on the line l. Without changing the compasses setting, place the pointer on A.

Step 4 : Cut an arc that cuts l at a point B. Now, AB is a copy of CD.