Chapter 5

1. of Perpendicular Bisectors Theorem The perpendicular bisectors of the sides of the triangle are concurrent at a point equidistant from the vertices.
3. of Medians Theorem The medians of a triangle are concurrent at a point that is two thirds the distance from each vertex to the midpoint of the opposite side.
5. The point of concurrency of the perpendicular bisectors of a triangle
7. of the Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
8. A segment connecting the midpoints of two sides of a triangle
10. Bisector Theorem If a point on the perpendicualr bisector of a segment, then it is equidistant from the endpoints of the segment.
11. from a point to a line/ The length of the perpendicular segment from the point to the line
13. Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long.
14. The lines that contain the altitudes are concurrent at the __.
16. A segment whose endpoints are a vertex and the midpoint of the opposite side

1. about A circle is __ a polygon if the vertices of the polygon are on the circle. A polygon is __ a circle if all the sides of the polygon are tangent to the circle.
2. The point of concurrency of the angle bisectors of a triangle
4. of concurrency The point where three or more lines intersect
6. in A circle is __ a polygon if the sides of the polygon are tangent to the circle. A polygon is __ a circle if the vertices of the polygon are on the circle.
9. A point is __ from two objects if it is the same distance from the objects.
12. When three or more lines intersect at one point
15. Bisector Theorem If a point ion the bisector of an angle, then the point is on the angle.