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Gravity
Terms in this set (20)
Perpendicular bisector
Any segment, line, or plane that intersects a segment at its midpoint and is also perpendicular
Equidistant
A point that is the same distance from two or more objects is said to be equidistant from those objects
Locus of points
A set of points that satisfies a given condition
Perpendicular bisector theorem
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment
Converse of the perpendicular bisector theorem
If a point is equidistant from the endpoints of the segment, then it is on the perpendicular bisector
Concurrent
When three or more lines intersect in one point, the lines are said to be concurrent
Point of concurrency
The point where three or more lines intersect
Circumscribe
A circle that contains all the vertices of a polygon is said to circumscribe a polygon. Every triangle can be circumscribed buy a circle, but that is not true for other polygons
Inscribe
A circle is said to be inscribed in a polygon if all the sides of the polygon are tangent (intersect in exactly one point) to the circle.every triangle can have an inscribed circle.
Circumcenter of the triangle
The circumcenter is the point of concurrency of the three perpendicular bisectors of a triangle
Circumcenter theorem
The Circumcenter (point of concurrency of the perpendicular bisectors) of a triangle is equidistant to the vertices of the triangle
Angle bisector theorem
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle
Converse of the angle bisector theorem
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector
Incenter
The incenter is the point of concurrency of the three angle bisectors of a triangle
Incenter theorem
The incenter (point of concurrency of the angle bisectors) of a triangle is equidistant from the sides of the triangle
Median of a triangle
The median of a triangle is a segment that has one endpoint at a vertex of the triangle in the other as the midpoint of the opposite side
Centroid of a triangle
The point of concurrency of the three medians is the centroid. The centroid is always on the interior of the triangle and it is the physical center of gravity.
Centroid theorem
The centroid of a triangle is 2/3 of the distance from each vertex to the midpoint of the opposite side
Altitude of a triangle
The altitude of a triangle is a segment from the vertex of an angle of the triangle perpendicular to the line containing the opposite side
Orthocenter of a triangle
The orthocenter of a triangle is the point of concurrency of the three altitudes of a triangle
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