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Four Remarkable Points of a Triangle

Mathematics Grade 8 Difficulty 2/5

Beginning of the lesson

🔺 The Four Remarkable Points of a Triangle

Every triangle, no matter its shape, has four special points where important lines meet. These are called the remarkable points (or notable points) of a triangle.

Overview

In any triangle, certain sets of three lines always intersect at a single point. This property is called concurrency. The four remarkable points are:

1. Centroid

Intersection of the medians

Point G

2. Orthocenter

Intersection of the altitudes

Point H

3. Circumcenter

Intersection of the perpendicular bisectors

Point O

4. Incenter

Intersection of the angle bisectors

Point I

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  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 108
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