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Chapter 5
5.1- Geometry Vocab
Term | Definition |
---|---|
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 |