Question

Divide the line segment of 8 cm length in the ratio 4 : 3. Write down the steps to divide a line segment. [2 MARKS]

Answer 1

Construction : 1 Mark
Steps of construction : 1 Mark


Steps of construction:

1. Draw a line segment AB of length 8cm.

2. From A, draw a ray AX and cut 7 arcs (4+3) of equal length on it.

3. Name the points as $A_1,A_2,....A_7$ where the arcs intersect the ray AX.

4. Join $A_{7}B$.

5. Draw a line through $A_4$ parallel to $A_{7}B$, cutting AB at C.

6. C divides the line segment AB in the ratio 4 : 3