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Acute triangle
a triangle with three acute angles

Obtuse triangle
a triangle with one obtuse angle

Right triangle
a triangle with one right angle

Scalene triangle
a triangle with no congruent sides

Equilateral triangle
A triangle with three congruent sides

Isosceles triangle
a triangle with at least two congruent sides

Vertex angle
The angle formed by the legs of an isosceles triangle.

Base angles
the two angles adjacent to the base

Base of an isosceles triangle
the side opposite the vertex angle

Legs of an isosceles triangle
the two congruent sides of an isosceles triangle

Median of a triangle
a segment from a vertex to the midpoint of the opposite side

Altitude of a triangle
a perpendicular segment from a vertex to the line containing the opposite side

Midsegment of a triangle
segment that connects the midpoints of two sides of a triangle

Incenter of a triangle
the point of concurrency of the angle bisectors of a triangle

Circumcenter of a triangle
the point of concurrency of the perpendicular bisectors of a triangle

Orthocenter of a triangle
the point of concurrency of the three altitudes of a triangle

Exterior angle of a triangle
An angle that forms a linear pair with an angle of the triangle

Adjacent interior angles
the angle of a polygon that forms a linear pair with a given exterior angle of a polygon

Remote interior angles
the angles of a triangle that are not adjacent to a given exterior angle
