A statement of conjecture that can be proven true by undefined terms, definitions, and postulates. theorem A statement that can be easily proved using a theorem is called corollary A statement that describes a fundamental relationship between the basic terms of geometry. They are accepted without proof. postulates. The shortest side in a triangle is opposite the - angle. smallest The largest angle in a triangle is opposite the - side. longest The sum of the lengths of any 2 sides in a triangle is -- the length of the third side. greater than A triangle exists if the sum of the lengths of the two shortest sides is -- the length of the third side. greater than The shortest distance from a point to a line is a segment drawn from the point to the line that is also - to the line. perpendicular The shorter distance from a point to a plane is a segment drawn from the point to the plane that is also - to the plane. perpendicular In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side. perpendicular bisector 3 or more lines that intersect at a common point. concurrent lines The point of intersection of concurrent lines. point of concurrency The point of concurrency of the perpendicular bisectors of a triangle. circumcenter The point of concurrency of the angle bisectors of a triangle. incenter The point of concurrency of the medians of a triangle. centroid In a triangle, a line segment with endpoints that are a vertex of a triangle and the midpoint of the side opposite the vertex. median In a triangle, a segment form a vertex of the triangle to the line containing the opposite side and perpendicular to that side. altitude means that the distance between 2 lines measure along a perpendicular line to the lines is always the same. equidistant Any point equidistant from the endpoints of a segment lies on the -- perpendicular bisector Any point on the angle bisector is equidistant from -- its sides The - is equidistant from the vertices of the triangles. circumcenter The - is equidistant from the sides of triangles. incenter The center of balance of any triangle is called a.. centroid The - of a triangle is 2/3 of the way from a vertex to the midpoint of the side opposite the vertex. centroid The - of a triangle is the center of a circle containing the triangle. circumcenter The - of a triangle is the center of a circle inside the triangle. incenter The - of a triangle is also the bisector of the side opposite the vertex. centroid
Of Mice and Men 