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acute triangle
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a triangle with three acute angles
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terms list
acute triangle
a triangle with three acute angles
obtuse triangle
a triangle with one obtuse angle
right triangle
a triangle with one right angle
isosceles triangle
a triangle with at least two sides congruent
scalene triangle
a triangle with no sides congruent
equilateral triangle
a triangle with all three sides congruent
equiangular triangle
a triangle with all three angles congruent
exterior angle
an angle that is adjacent to an interior angle of a triangle formed when the side is extended
remote interior angle
an angle of a triangle that is not adjacent to the referenced exterior angle
Exterior Angle Inequality Theorem
the measure of an exterior angle of a triangle is greater than the measure of either of the remote interior angles
angle bisector
divides the angle into two congruent angles
concurrent lines
three or more lines that intersect at a common point
point of concurrency
the point where three or more lines intersect
incenter
the point of concurrency of the angle bisectors of a triangle
segment bisector
divides a segment into two congruent segments
perpendicular bisector
a segment bisector that forms right angles with the line segment
circumcenter
the point of concurrency of the perpendicular bisectors of a triangle
median
a line segments that connects a vertex to the midpoint of the opposite side of a triangle
centroid
the point of concurrency of the medians of a triangle
altitude
the segment drawn from a vertex perpendicular to the opposite side of a triangle
orthocenter
the point of concurrency of the altitudes of a triangle
Triangle Exterior Angle Theorem
the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle
SSS
state that if you know corresponding sides of two triangles are congruent, then the triangles are congruent
SAS
states that if two sides and the included angle of one triangle are congruent to two sides and the included angle in another triangle, then the triangles are congruent
ASA
states that if two angles and the included side are congruent to the two angles and the included side of another triangle, then the two triangles are congruent
AAS
states that if two angles and a non-included side of one triangle are congruent to two angles and the non-included side of another triangle then the two triangles are congruent
HL
states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent
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