Geometry

5. The point where the lines containing the altitudes are concurrent.
6. A segment that connects the midpoint of a side to the opposite vertex.
8. A line, plane ray that cuts through an angle to create two congruent angles.
10. The type of line segments that intersect at the orthocenter.
11. The theorem used to compare two triangles where two sides are congruent but the included angles are different.
12. Where all of the perpendicular bisectors intersect; it is equidistant from each vertex (angle) of the triangle.

1. Formed by the intersection of all medians, and is known as the "exact center" of the triangle.
2. The name for the theorem that states the sum of any two sides of a triangle must be greater than the third side.MEDIAN
3. The general term describing where multiple lines intersect.
4. The circumcenter is equidistant from each of these points in the triangle.
7. The incenter is equidistant from all of these.
9. This point of concurrency is formed by angle bisectors and is equidistant from all of the triangle's sides.