Perpendicular Bisector: A perpendicular bisector intersects a line segment at a right angle and divides it into two equal parts, ensuring each point on the bisector is equidistant from both segment endpoints.

Constructing the Perpendicular Bisector: 1) Use a ruler to locate the midpoint, then draw a perpendicular line through it. 2) Use a compass to create arcs from each endpoint, then draw a line through the intersection points.

Finding the Circumcentre in a Triangle: Construct perpendicular bisectors for at least two sides of the triangle; their intersection point is the circumcentre, which is equidistant from all three vertices.

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