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Geometry Triangles
| Term | Definition |
|---|---|
| equilateral triangle | a triangle whose three sides are equal in length |
| isosceles triangle | a triangle with two sides that are equal in length |
| scalene triangle | a triangle whose three sides are all different in length |
| acute triangle | a triangle whose 3 angles are all less than 90 degrees |
| equiangular triangle | a triangle whose 3 angles are equal |
| right triangle | a triangle with one angle of 90 degrees |
| obtuse triangle | a triangle with an angle of more than 90 degrees |
| hypotenuse | the side opposite the right angle in a right triangle |
| base of an isosceles triangle | the side of an isosceles triangle that is not the legs (the two sides that are congruent) |
| base angles of an isosceles triangle | the two congruent angles on an isosceles triangle |
| corollary | a theorem that follows from another theorem |
| perpendicular bisector of a triangle | a perpendicular line through the midpoint of a side of the triangle |
| angle bisector of a triangle | a line that divides an angle of the triangle into two congruent parts |
| point of concurrency | the point where three or more lines intersect |
| concurrent lines | when three or more lines intersect in the same point |
| circumcenter of a triangle | the point of concurrency of the perpendicular bisectors of a triangle |
| incenter of a triangle | the point of concurrency of the angle bisectors |
| median of a triangle | a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side |
| centroid of a triangle | the point of concurrency of the three medians of a triangle |
| altitude of a triangle | the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side |
| orthocenter of a triangle | the point of concurrency of the three altitude lines |
| mid segment of a triangle | a segment that connects the midpoints of two sides of a triangle |
| vertex angle of an isosceles triangle | the angle that is not congruent to the others in an isosceles triangle |