Honors geometry chapter 5

Very sad

equidistant

a a point is this from two figures when the point is the same distance from each figure

Perpendicular bisector theorem

if a point lies on the perpendicular bisector of a 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 then it lies on the perpendicular bisector of the segment

Angle bisector theorem

if a point lies on the bisector of an angle then it is equidistant from the two sides of the angle

Converse of the base angles theorem

if a a point lies in the interior of angle and is equidistant from the two sides of the angle then it lies on the bisector of the angle

Circumcenter theorem

the circumcenter of a triangle is equidistance from the vertices of the triangle

Concurrent lines

When three or more lines, rays, or segments intersect the same point,.

Point of concurrency

the point of intersection of the lines, rays, or segments

Circumcenter

In a triangle, the three perpendicular bisectors are concurrent. The point of concurrency is this.

Incenter theorem

the incenter of a triangle is equidistant from the sides of the triangle.