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Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.

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Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

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Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.

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Triangles are congruent if any two angles and their included side are equal in both triangles.

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The angle between adjacent sides of a rectilinear figure.

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The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

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The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

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The orthocenter is the point where the three altitudes of a triangle intersect. A altitude is a perpendicular from a vertex to its opposite side.

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

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In geometry, a vertex angle is the angle associated with a vertex of a polygon.

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

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In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.

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

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

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One of several centers the triangle can have, the circumcenter is the point where the perpendicular bisectors of a triangle intersect.

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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.