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Construction of a Perpendicular Bisector of a Line Segment Video Lecture - Class 6

FAQs on Construction of a Perpendicular Bisector of a Line Segment Video Lecture - Class 6

1. What is the definition of a perpendicular bisector of a line segment?

Ans. A perpendicular bisector of a line segment is a line or a line segment that passes through the midpoint of the given line segment and forms a right angle (90 degrees) with it.

2. How do you construct a perpendicular bisector of a line segment?

Ans. To construct a perpendicular bisector of a line segment, follow these steps: 1. Draw the given line segment. 2. Use a compass to find the midpoint of the line segment by drawing arcs from both endpoints. The arcs should intersect each other. 3. With the same compass width, draw arcs above and below the line segment, intersecting it at two points. 4. Connect these two points with a straight line. This line is the perpendicular bisector of the given line segment.

3. Why is the perpendicular bisector of a line segment important?

Ans. The perpendicular bisector of a line segment is important because it divides the line segment into two equal parts. It also helps in constructing right angles, which are commonly used in various geometric constructions and calculations.

4. How does the perpendicular bisector of a line segment relate to triangles?

Ans. The perpendicular bisector of a line segment is related to triangles in several ways. It is used in triangle constructions, such as constructing an equilateral triangle or finding the circumcenter of a triangle. The perpendicular bisectors of the sides of a triangle intersect at a single point called the circumcenter, which is equidistant from the triangle's vertices.

5. Can a line segment have more than one perpendicular bisector?

Ans. No, a line segment can have only one perpendicular bisector. The perpendicular bisector is unique because it passes through the midpoint of the line segment and forms a right angle with it. Any other line or line segment passing through the midpoint of the given line segment and forming a right angle with it would be identical to the original perpendicular bisector.

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Sep 25, 2025 Last updated

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