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Concurrent Lines in Triangles Chart - mdk12

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Answers:<br />

The po<strong>in</strong>t of concurrency of the medians of a triangle<br />

meet <strong>in</strong>side the triangle at the po<strong>in</strong>t called the<br />

centroid, or the center of gravity.<br />

The po<strong>in</strong>t of concurrency of the perpendicular bisectors<br />

meet <strong>in</strong>side, outside, or on the triangle at the<br />

po<strong>in</strong>t called the circumcenter, which is the<br />

center of the circumscribed circle about the<br />

triangle.<br />

The po<strong>in</strong>t of concurrency of the angle bisectors of a<br />

triangle meet <strong>in</strong>side the triangle at the <strong>in</strong>center,<br />

which is the center of the circle <strong>in</strong>scribed <strong>in</strong> the<br />

triangle (meets all three sides of the triangle).<br />

The po<strong>in</strong>t of concurrency of the altitudes of a triangle<br />

meet either <strong>in</strong>side, outside, or on the triangle<br />

and is called the orthocenter of the triangle.<br />

Lesson Plan: Different Methods of Construction<br />

Page 3

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