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# Ch 3 Geometry

### Ch 3 Terms and Conjectures

All points on this line are equidistant from the endpoints of the segment that it intersects. perpendicular bisector
If a segment is drawn to represent the shortest distance from a point to a line, at what angle does the segment intersect the line? 90 degrees
What contains the points that are equidistant from the sides of an angle? angle bisector
What are the four points of concurrency in a triangle? centroid, orthocenter, circumcenter, incenter
Which triangle constructions are concurrent to form the centroid? medians
Which triangle constructions are concurrent to form the orthocenter? altitudes
Which triangle constructions are concurrent to form the circumcenter? perpendicular bisectors
Which triangle constructions are concurrent to form the incenter? angle bisectors
Which point of concurrency in a triangle is equidistant from the triangle's vertices? circumcenter
Which point of concurrency in a triangle is equidistant from the sides of the triangle? incenter
Which point of concurrency in a triangle is the center of gravity? centroid
In a triangle, how far is the distance from the centroid to the vertex compared to the distance from the centroid to the midpoint of the opposite side? double
In a triangle, how far is the distance from the centroid to the midpoint of a side compared to the distance from the centroid to the opposite vertex? half