# Chapter 5: Properties of Triangles

## 10 terms

### Hinge Thereom

If two sides of one triangle are congruent to two side of another triangle and the included angle of the first is larger that the included angle of the second, then the 3rd side of the first triangle is longer than the third side of the second.

### Converse of Hinge Thereom

If two sides of one triangle are congruent to two sides of another triangle, and the third side of the second, then the included angle of the first is larger than the included angle of the second.

### point of concurrency

point where three or more lines intersect

### circumcenter

point of currency where the perpendicular bisectors of a triangle intersect- equidistant from veritces

### incenter

point of concurrency where angle bisectors intersect- equidistant from the sides of the triangle

### centroid

point of concurrency where medians intersect- 2/3 from vertex to centroid

### orthocenter

point of concurrency where altitudes intersect

### altitude of a triangle

a perpendicular segment from a vertex to the line containing the opposite side

### median of a triangle

a segment from a vertex to the midpoint of the opposite side

### perpendicular bisector

line that bisects another line and is perpendicular to that line