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Triangle Properties
Question | Answer |
---|---|
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. |