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A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

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(of three or more lines) meeting at or tending toward one point

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The point where the three "altitudes" of a triangle meet. An "altitude" is a line that goes through a vertex (corner point) and is at right angles to the opposite side. Try moving the points below, and notice: • the orthocenter can be inside or outside of the triangle.

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a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid

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the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.

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the center of mass of a geometric object of uniform density.

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The point about which an angle is measured is called the angle's vertex, and the angle associated with a given vertex is called the vertex angle. In a polygon, the (interior, i.e., measured on the interior side of the vertex) are generally denoted or .

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Definition of Base Angle Theorem. Base Angle Theorem states that if two sides in a triangle are congruent, then theangles opposite to these sides are also congruent

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the height of an object or point in relation to sea level or ground level.

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difference in size, degree, circumstances, etc.; lack of equality

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the angle between a side of a rectilinear figure and an adjacent side extended outward

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the angle between adjacent sides of a rectilinear figure

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: Triangles are congruent if any two angles and their included side are equal in both triangles. ... If any two angles and the included side are the same in both triangles, then the triangles are congruent.

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Congruent Triangles - Three sides equal (SSS)Definition: Triangles are congruent if all three sides in one triangle are congruent to the corresponding sidesin the other. There are five ways to test that two triangles are congruent.

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Congruent Triangles - Two angles and an oppositeside (AAS) Definition: Triangles are congruent if two pairs of corresponding angles and a pair of oppositesides are equal in both triangles. There are five ways to test that two triangles are congruent.

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Congruent Triangles - Two sides and included angle(SAS) Definition: Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles. There are five ways to test that two triangles are congruent.