Geometry Concepts

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Incenter

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The point where the angle bisectors of a triangle intersect. It is the center of the triangle's incircle.

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Circumcenter

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The point where the perpendicular bisectors of a triangle intersect. It is the center of the triangle's circumcircle.

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Pythagorean Theorem

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A fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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Centroid

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The point where the three medians of a triangle intersect. It is often described as the triangle's center of gravity.

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Orthocenter

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The point where the three altitudes of a triangle intersect. It can be inside or outside the triangle depending on the type of triangle.

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Euler's Line

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A line determined from any triangle that is not equilateral, and it passes through several important points of the triangle, including the orthocenter, centroid, and circumcenter.