5.1 And 5.2 Flashcards
Perpendicular Bisector
A perpendicular Bisector is the line that is perpendicular to a segment at it’s midpoint
Perpendicular Bisector thm
If a point is on the perpendicular Bisector of a segment then it is equidistant from the endpoints of the segment
Perpendicular Bisector converse
If a point is equidistant from the endpoints of a segment, them int lies on the perpendicular Bisector of the segment
Angle Bisector thm
If a point is on the Bisector of an angle, then it is equidistant from the two sides of the angle
Angle Bisector converse
If a point is on the interior of an angle and equidistant from the sides of an angle, the it lies on the Bisector of an angle
Distance between a line and a point
Is the length of the perpendicular segment from the point to the line
Perpendicular Bisector of a triangle
A perpendicular Bisector of a triangle is a segment that is part of a perpendicular Bisector of one of the sides
Angle Bisector of a triangle
An angle Bisector of a triangle is a segment that bisects one of the angles of the triangle
Median
A median is a segment whose endpoints are a vertex and the midpoint of the opposite side
Altitude
An altitude is a segment from a vertex that is perpendicular to the opposite side or to the line containing the opposite side. may lie inside or outside triangle
Concurrent
Two or more lines or segments are concurrent if they intersect in a single point
Incenter
The angle bisectors of a triangle are concurrent at the incenter. The incenter is equidistant to the sides of the triangle
Circumcenter
The lines containing the perpendicular bisectors of a triangle are concurrent at the circumcenter. The circumcenter is equidistant to the vertices of the triangle.
Centroid
The medians of a triangle are concurrent at the centroid. The centroid is two thirds the distance from the vertex to the midpoint to the opposite side.
Orthocenter
The altitudes of a triangle are concurrent at the orthocenter
