Some interesting tools
Centroid : the center of mass of a triangle
centroid and circumcircle: This tool constructs the centroid and the cincumcircle of a given triangle
Orthocenter: The point of intersection of the three altitudes of a triangle
Circumcenter: The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
Circumcicle: is the circle that passes through all vertices of a triangle and contains the entire figure in its interior
Incenter: is the center of the incircle for a given triangle. It can be found as the intersection of angle bisectors, and it is the interior point for which distances to the sides of the triangle are equal. It has trilinear coor
incenter and incircle: The largest possible circle that can be drawn interior to a plane figure
Triangle centers: triangle's orthocenter, centroid, and circumcenter
Euler line: The line segment that passes through a triangle's orthocenter, centroid, and circumcenter. These three points are collinear for any triangle. In addition, the distance from the orthocenter to the centroid is twice the distance from the circumcenter to the centroid.
Nine-point circle: Also called
circle or the Feuerbach circle, is the circle that passes through
the perpendicular feet, and dropped from the vertices of any reference
triangle on the sides opposite them. Euler showed that it
also passes through the midpoints of the sides of the triangle.
theorem, the nine-point circle also passes through the midpoints
of the segments that join the vertices and the orthocenter . These
points are commonly referred to as the Euler points.
Mid point segment: This tool constructs the midpoint of a segment
Trisection of a segment
Medial triangle: the triangle constructed using the midpoints of each side of a given triangle
equilateral triangle: A triangle with three congruent sides
Square A rectangle with all four sides of equal length. Formally, a square is a quadrilateral with four congruent sides and four congruent angles
pentagon given radios
Regular Hexagon: A polygon for which
all sides are congruent and all angles are congruent.