Geometry+5-1

media type="youtube" key="oiDPGy3tS9A?fs=1" height="409" width="698" media type="youtube" key="lcBUOP5nk3U?fs=1" height="361" width="693" __**Theorems**__

__Points on perpendicular Bisector__ 5.1 - Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segments

Example - If (L)AB _|_ (L)CD and (L)AB bisects (L)CD, then AC = AD and BC = BD

5.2 - Any point eqiidistant from the endpoints of a segemnt lies on the perpendicular bisector of the segment

Example - If AC = AD, then A lies on the perpendicular bisector of (L)CD If BC = BD, then B lies on the perpendicular bisector of (L)CD - Circumcenter Bisector 5.3 - Circumcenter Theorem - The circumcenter of a triangle is equidistant rom vertices of the triangle

Example - If J is the circumcenter of /_\ABC, then AJ = BJ = CJ - Points on angle bisector 5.4 - Any point on the angle bisector is equidistant from the sides of the angle

5.5 - Any point equidistant from the sides of an angle lies on the angle bisector

Incenter theorem (5.6) Centroid Theorem (5.7)

__**Help**__

[|Bisectors, Medians, and Altitude Help]