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Match the correct definition to the vocabulary word. The Concurrency of Medians of a Triangle TheoremAnswer 1 Question 8Orthocenter of the triangleAnswer 2 Question 8The Concurrency of Altitudes of a TriangleAnswer 3 Question 8

Question

Match the correct definition to the vocabulary word. The Concurrency of Medians of a Triangle TheoremAnswer 1 Question 8Orthocenter of the triangleAnswer 2 Question 8The Concurrency of Altitudes of a TriangleAnswer 3 Question 8

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Solution

The Concurrency of Medians of a Triangle Theorem: This theorem states that all three medians of a triangle intersect at a single point, known as the centroid of the triangle. The centroid divides each median into two segments, where the segment connecting the centroid to the vertex is twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Orthocenter of the triangle: This is the point where all three altitudes of a triangle intersect. An altitude of a triangle is a line segment drawn from a vertex of the triangle perpendicular to the line containing the opposite side.

The Concurrency of Altitudes of a Triangle: This theorem states that all three altitudes of a triangle intersect at a single point, known as the orthocenter of the triangle. This is true for all types of triangles.

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