GeoP Chapter 5 Quiz Vocab Flashcards
Altitude
A segment drawn from a vertex of a triangle perpendicular to its opposite side
Concurrent lines
3 or more lines intersecting at one point
Point of concurrency
The intersecting point of concurrent lines
Circumcenter
Intersection point of the perpendicular bisections of a triangle
Incenter
Intersection point of the angle bisectors of a triangle
Centroid
Intersection point of the medians of a triangle. Also called the center of gravity of a triangle
Orthocenter
Intersection point of the altitude of a triangle
Midsegment
Segment connecting the midpoints of two sides of a triangle
Triangle Midsegment Theorem
If a segment joins the midpoints of two sides of a triangle then the segment is parallel to the third side and is half as long
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 a segment, it is on the perpendicular bisector of the segment
Angle Bisector Theorem
If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle
Converse of the Angle Bisector Theorem
If a point is in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector
Concurrency of Perpendicular Bisectors Theorem
The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices
Concurrency of Angle Bisectors Theorem
The bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle
