# Geometry 5.1-5.4

### 15 terms by addieg21

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### Centroid

the point of concurrency of the medians of a triangle.

### Centroid requires

midpoint, opposite vertex

### Circumcenter

the point of concurrency for perpendicular bisectors

### Circumcenter requires

perpendicular slope, midpoint

### Incenter

the point of concurrency for angle bisectors

### Median of a triangle

A segment whose endpoints are the midpoint of one side of a triangle and the opposite vertex.

altitudes

Inside

### Where is the orthocenter of a right triangle?

On the vertex of right angle

Inside

Outside

### Where must the centroid always be located regardless of acute, right or obtuse?

Inside the triangle

### For every type of triangle (scalene, obtuse, acute, right, etc...) the three medians in a triangle will

intersect at exactly 1 point

### When the triangle is acute

then the orthocenter falls inside the triangle.

### When the triangle is obtuse

the orthocenter falls outside the triangle

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