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Perpendicular Bisectors and Circumcircle

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  • (0:01) 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 endpoints.
  • (0:34) 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.
  • (1:38) 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 3 vertices.

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Perpendicular Bisectors and Circumcircle

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Q: What is a perpendicular bisector?

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Q: Which tool is used to construct the perpendicular bisector of a segment?

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Q: How do you find the circumcenter of a triangle?

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Q: What is the circumcenter of a triangle?

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Q: What does the circumcircle of a triangle pass through?

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Q: You’re building a triangular park and want to place a fountain equidistant from all three corners. Which geometric point should you find?

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