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Triangle Properties

QuestionAnswer
Acute Triangles All angles are less than 90 degrees
Right Triangles One angle is 90 degrees, the other two angles are less than 90 degrees.
Obtuse Triangles One angle is greater than 90 degrees, the other two angles are less than 90 degrees.
Scalene Triangles All of the sides are different measures.
Isosceles Triangles Two sides are congruent.
Equilateral Triangles All sides are congruent.
Triangle-Angle-Sum Theorem All three interior angles add up to 180 degrees.
Exterior Angle Theorem The measure of an exterior angle is the sum of the two interior angles.
Isosceles Triangle Theorem Two angles of a triangle are congruent if and only if two sides of a triangle are congruent.
Altitude The special segment that connects a vertex to the opposite side and is perpendicular to that side.
Angle Bisector The special segment that bisects one angle of the triangle.
Centroid The point of concurrency that is formed by the three medians of the triangle and is the center of gravity.
Circumcenter The point of concurrency that is formed by the perpendicular bisectors.
Euler Line The special line in a triangle that includes three points of concurrency: circumcenter, centroid, and orthocenter.
Incenter The point of concurrency that is formed by the angle bisectors.
Median The special segment whose endpoints are a vertex and the midpoint of the opposite side.
Midsegment The special segment that joins the midpoints of two sides of a triangle.
Orthocenter The point of concurrency where the three altitudes of the triangle meet.
Perpendicular Bisector The special segment that bisects the side of the triangle and is perpendicular to that side.
Triangle Inequality Theorem Two sum of two sides of a triangle will be greater than the third side.
Created by: 100000152318177