Perpendicular bisector of a line segment divides that line in _______ at an angle of _______

Options

A. Two equal halves, `45 ^(@)`
B. Two equal halves, `90^(@)`
C. `1:2, 90^(@)`
D. `1:2, 45 ^(@)`

Answer

To solve the question "Perpendicular bisector of a line segment divides that line in _______ at an angle of _______", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept**:
A perpendicular bisector is a line that divides a line segment into two equal parts and is perpendicular to that segment.

2. **Drawing the Line Segment**:
Let's draw a line segment and label its endpoints as A and B.

**Hint**: Remember that a line segment has two endpoints.

3. **Finding the Midpoint**:
The midpoint of the line segment AB is the point that is equidistant from both A and B.

**Hint**: The midpoint can be found by measuring the length of the segment and dividing it by 2.

4. **Drawing the Perpendicular Bisector**:
From the midpoint, draw a line that is perpendicular to segment AB. This means it will form a right angle (90 degrees) with segment AB.

**Hint**: Use a protractor to ensure that the angle formed is exactly 90 degrees.

5. **Dividing the Segment**:
The perpendicular bisector divides the line segment AB into two equal parts. This means that the lengths of the segments from the midpoint to A and from the midpoint to B are equal.

**Hint**: You can measure the lengths of the two segments to confirm they are equal.

6. **Conclusion**:
Therefore, the perpendicular bisector divides the line segment into two equal halves at an angle of 90 degrees.

### Final Answer:
The perpendicular bisector of a line segment divides that line in **two equal halves** at an angle of **90 degrees**.