Lesson 31-40

2. length- the distance among an arc measured in linear units
3. proof-a style of proof in which the statements and reasons are presented in paragraph form
4. reciprocal- the opposite of the reciprocal of a number
6. of a triangle-the perpendicular segment from a vertex to the line containing the opposite side
8. circle-a circle that contains all vertices of a polygon
10. of concurrency- a point where three or more lines intersect
12. of a triangle-the point of concurrency of the three perpendicular bisectors of a triangle
14. of a circle- a region inside a circle bounded by two radii of the circle and their intercepted arc
15. of a triangle- a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side

1. of a triangle- the point of concurrency of the three altitudes of a triangle
5. proof- a style of proof that uses boxes and arrows to show the structure of the proof
7. line- the line containing the circumcenter,centroid,and orthocenter of a triangle
9. of a triangle- the point of concurrency of the three medians of a triangle also known as the center of gravity
11. of a triangle- the point of concurrency of the three angle bisectors of a triangle
13. lines- three or more lines that intersect at one point