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Math
Geometry
Chapter 3 Conjectures
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Conjectures of Chapter 3 geometry
Terms in this set (13)
Perpendicular Bisector Conjecture
if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints
Converse of the Perpendicular Bisector Conjecture
if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment
Shortest Distance Conjecture
The shortest distance from a point to a line is measured along the perpendicular segment from the point to the line
Angle Bisector Conjecture
If a point is on the bisector of an angle then it is equidistant from the sides of the angle
Angle Bisector Concurrency Conjecture
The three angle bisectors of a triangle meet at a point (are concurrent) called the incenter
Perpendicular Bisector Concurrency Conjecture
The three perpendicular bisectors of a triangle meet at a point (are concurrent) called the circumcenter
Altitude Concurrency Conjecture
The three altitudes (or the lines containing the altitudes) of a triangle meet at a point (are concurrent) called the orthocenter
Circumcenter Conjecture
The circumcenter of a triangle is equidistant from the vertices
Incenter Conjecture
The incenter of a triangle is equidistant from the sides
Median Concurrency Conjecture
The three medians of a triangle are concurrent
Centroid Conjecture
The centroid of a triangle divides each median into two parts so that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side
Center of Gravity Conjecture
The centroid of a triangle is the center of gravity of the triangular region.
Euler Line Conjecture
The circumcenter, orthocenter, and centroid are the three points of concurrency that always lie on a line
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