Question

Construct a line segment of length $4.6\text{cm}$. Divide this line into $2$ equal parts and find the length of each part.

• A. $2.0\text{cm}$
• B. $2.1\text{cm}$
• C. $2.2\text{cm}$
• D. $2.3\text{cm}$

Answer 1

The correct option is D $2.3\text{cm}$

steps of construction :

1 . draw a line of length 4.6 cm using a ruler.

2. Place the compass at one end of the line segment.

3 . Adjust the compass to slightly longer than half the line segment length.

4. Draw arcs above and below the line.

5 . Keeping the same compass width, draw arcs from another end of the line.

6 . Place ruler where the arcs cross and draw the line segment.

7. drawn line segment cuts the initial line segment into two equal parts.

8. measure the bisected length using ruler that comes out be $=\frac{1}{2}\times 4.6=2.3\text{cm}$