The perpendicular bisector of a line segment of length `6 cm` cuts it at:

Options

A. `1 cm` from one end
B. `2 cm` from one end
C. `3 cm` from one end
D. Its one one end

Answer

To find where the perpendicular bisector of a line segment of length 6 cm cuts it, follow these steps:

### Step-by-Step Solution:

1. **Identify the Line Segment**:
Let's denote the line segment as AB, where the length of AB is given as 6 cm.

2. **Find the Midpoint**:
To find the midpoint O of the line segment AB, we divide the length of the segment by 2.
\[ O = \frac{AB}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm} \]
Thus, the midpoint O is 3 cm from both endpoints A and B.

3. **Understanding the Perpendicular Bisector**:
The perpendicular bisector of a line segment is a line that divides the segment into two equal parts at a right angle. Since O is the midpoint, the perpendicular bisector will pass through point O.

4. **Determine the Distance from One End**:
Since O is the midpoint, it cuts the line segment AB into two equal parts. Therefore, the perpendicular bisector cuts the segment at a distance of 3 cm from either end (A or B).

### Conclusion:
The perpendicular bisector of the line segment of length 6 cm cuts it at 3 cm from one end.

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