a point is equidistant from 2 objects if it is the same distance from each
Perpendicular Bisector Theorm
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 Theorm
If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
distance from a point to a line
Angle Bisector Theorm
if a point is on the bisector of an angle, then the point is equidisntant from the sides of the angle
STUDY HOW TO DO PROBLEMS
three of more lines intersect at one point
Point of Concurrency
The point at which they intersect
Concurrency of Perpendicular Bisectors Theorm
Perpendicular bisectors intersect at a point that is equidistant from the verticies
the point of concurrency of the perpendicular bisectors of a triangle
Circumcenter of a triangle can be....
INSIDE AND OUTSIDE
Concurrency of Angle Bisectors Theorem
The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.
the point of concurrency of the angle bisector of a triangle
a segment whose endpoint are a vertex and the midpoint of the opposite side
point of concurrency of the medians (BALANCING POINT)
Concurrency of Medians Theorem
The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side.
What is the equation of the Concurrency of Medians Theorem
find the x-coordinate of the centroid divide the sum of the x-coordinate of the vertices by 3. do the same for y
the perpendicular segments from a vertex of the triangle to the lind containing the opposite
Concurrency of Altitudes Theorem
The lines containing the altitudes of a triangle are congruent.
lines that contain the altitudes of a triangle are conncurent
Peanut Butter Cookies
Are Better If
Perp. Bisectors- Circumcenter
Angle Bisectors- Incenter