Chapter 5 Flashcards
If a segment joins the midpoints of two sides of a triangle then the segment is parelel to the third side and is half it’s length
Triangle mid segment theorem
Segment connecting the midpoints of two sides
Missegment
Use coordjnate style geometry
Coordinate proof
If a point is on the perpindicular bisector of a segment then it is equidistant from the endpoints of A segment
Perpindicular bisector thereom
If a point is equidistant from the endpoints of a segment then it is on the perpindicular bisector of the segment
Converse of the perpindicular bisector theorem
Length of the perpindicular segment from the point to the line
Distance from the point to a line
If a point is on the bisector of an angle then the point is equidistant from the sides of an angle
Angle bisector theorem
If a point in the interior of an angle is equidistant from the sides of the angle then the point is on the angle bisector
Converse of the angle bisector theorem
Three or more lines intereect in one point
Concurrent
Point at which they intercect is the
Point of concurrency
The perpindicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices
Thereom 5-6
The bisector a of the angles of a triangle are concurrent at a point equidistant from the sides
Theorem 5-7
Point of concurrency of the perpindicular bisector a of a triangle
Circumcenter of the triangle
The medians if a triangle are concurrent at a points that is two thirds the distance from each vertex to the opposite side
Theorem 5-8
Segment whose endpoints are a vertex and the midpoint of the opposite side
Median
