Points of concurrency in triangles

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11 Terms

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Perpendicular Bisector

A line that bisects a segment at a right angle.

<p>A line that bisects a segment at a right angle.</p>
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Angle Bisector

A ray that bisects an angle.

<p>A ray that bisects an angle.</p>
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Perpendicular Bisector Theorem

The theorem that states that the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices of the triangles

<p>The theorem that states that the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices of the triangles</p>
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Circumcenter

The point of concurrency of the perpendicular bisectors of a triangle

<p>The point of concurrency of the perpendicular bisectors of a triangle</p>
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Angle Bisector Theorem

The theorem that states that the bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle

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Incenter

The point of concurrency of the angle bisectors of a triangle

<p>The point of concurrency of the angle bisectors of a triangle</p>
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Median

A line in a triangle that goes from a vertex to the midpoint of the opposite side of a triangle.

<p>A line in a triangle that goes from a vertex to the midpoint of the opposite side of a triangle.</p>
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Medians of a triangle

The type of lines in a triangle that are are concurrent at a point that is 2/3 the distance from the vertex to the midpoint of the opposite side of a triangle

<p>The type of lines in a triangle that are are concurrent at a point that is 2/3 the distance from the vertex to the midpoint of the opposite side of a triangle</p>
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Centroid

The point of concurrency of the medians of a triangle.

<p>The point of concurrency of the medians of a triangle.</p>
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Altitude

A line in a triangle that goes from a vertex perpendicular to the opposite side of a triangle. These lines are concurrent.

<p>A line in a triangle that goes from a vertex perpendicular to the opposite side of a triangle. These lines are concurrent.</p>
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Orthocenter

The point of concurrency of the altitudes of a triangle.

<p>The point of concurrency of the altitudes of a triangle.</p>