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ADV GEOMETRY

Unit 5 Test 11/30

QuestionAnswer
median a segment joining a vertex to the midpoint of the opposite side
centroid the point where 3 medians of a triangle intersect
what special properties do each median have in centroid Big= 2/3 median Small= 1/3 median Big= 2x small Small= 1/2 big
perpendicular bisector theorem if a point lies on the perpendicular bisector then, it's equidistant from the endpoints of the segment
converse of the perpendicular bisector theorem if its equidistant from the end segments, then is a perpendicular bisector
angle bisector theorem the point is equidistant from the sides of the angle (segments)
converse of the angle bisector theorem if a point is on the interior of an angle and equidistant from the side of the angle, then the point is on the angle bisector
circumcenter the point where perpendicular bisectors of the side of a triangle intersect
whats equal on the circumcenter the non right angle segments and the sides (perpendicular bisectors)
incenter the point where the angle bisectors of the angles of a triangle intersect
whats equal in the incenter right angle segments two sides opposite from each other (think of isosocles)
what is the circumcenter created by perpendicular bisectors
where is the circumcenter in acute triangles inside
where is the circumcenter in obtuse triangles outside
where is the circumcenter in right triangles on
what is the incenter created by angle bisectors
where is the incenter on triangles always inside
what is the centroid created by medians
where is the centroid on triangles always inside
what is the orthocenter created by altitudes
where is the orthocenter on acute triangles inside
where is the orthocenter on obtuse triangles outside
where is the orthocenter on right triangles on
Created by: stella_koe
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