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Triangles
Names of different parts of triangles
10
Mathematics
9th Grade
12/01/2008

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Cards

Term
Concurrency
Definition
-The point where the segments of triangles meet.
Term
Triangle Median
Definition

- A segment from the midpoint of a side to the vertex.

- The point of concurrency is the centroid.

- The ration between the parts of the triangle medians is always 2:1.

Term
Centroid
Definition
- The point of concurrency for triangle medians.
Term
Circumcenter
Definition
- The point of concurrency of perpendicular bisectors of a triangle.
Term
Incenter
Definition
- The point of concurrency of angle bisectors of a triangle.
Term
Circumcircle
Definition

- A circle where all vertices of the triangle touch the edge of the circle.

- The center of the circumcircle in the circumcenter.

Term
Altitude of a Triangle
Definition

- 1.) Isosceles triangle: segment perpendicular to the base.

- 2.) Right triangle: segment from the right angle that divides the hypotenuse into 2 parts (called projections.).

- 3.) Triangle: segment from a vertex perpendicular to any side.

Term
Orthocenter
Definition

- The point of concurrency of the altitudes of a triangle.

- Right Triangle: the point is always the right angle.

- Obtuse Triangle: the point is always outside.

Term
Euler's Line
Definition
- The concerrency of the orthocenter, centroid, and circumcenter points are collinear.
Term
Triangle Side Relationship
Definition

- The sum of any two sides of the triangle will always be greater than the third side.

 

- Example: 9, 5, and 14 is not a triangle (9 plus 5 is not greater then 14).  6, 4, 6 is a triangle.

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