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# Chapter 5

### 5.1- Geometry Vocab

TermDefinition
Equidistant equally distant
Perpendicular Bisector a line that bisects another line segment at a right angle, through the midpoint of the line segment
Converse of the Perpendicular Bisector Theorem if a point is equidistant from both the endpoints of the line segment in the same plane, then that point is on the perpendicular bisector of the line segment
Perpendicular Bisector Theorem any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn.
Concurrent Lines lines that intersect at one point
Point of Concurrency the point where lines intersect
Circumcenter the point of concurrency of the perpendicular bisectors of a triangle
Circumcenter Theorem the perpendicular bisectors of a triangle intersect at a point called the circumcenter that is equidistant from the vertices of the triangle
Circumcenter - acute triangle circumcenter is inside the triangle
Circumcenter- obtuse triangle circumcenter is outside the triangle
Circumcenter- right triangle circumcenter is on the line of the triangle
Circumcised circle The center of a circle that circumscribes a triangle.
Circumcised is drawing a figure around another figure in such a way that the drawn figure touches the outer line or points of the inside figure without intersecting it
Angle Bisector A ray that divides an angle into two equal parts
Angle Bisector Theorem if a point is on the bisector of an angle, then it is equidistant from the sides of the angle
Converse of the Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle
Incenter the point of concurrency of the angle bisectors of a triangle
Incenter Theorem the angle bisectors of a triangle intersect at a point called the incenter that is equidistant from the sides of the triangle
Inscribed circle if a circle is present inside the a polygon in such a way that the sides of polygon are just touching the circumference of the circle
Inscribed to draw one shape inside another so that it just touches
Created by: h_2412
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