GPS SCRIP TOOLS

CENTROID	The center of gravity of a triangle, where the three medians of the triangle intersect
ORTHOCENTER	The orthocenter of a triangle is the point where all three of its altitudes intersect.
CIRCUMCENTER	The point where the three perpendicular bisectors of the sides of a triangle meet
CIRCUMCIRCLE	The circumcircle or circumscribed circle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter.
INCENTER	The incenter of a triangle or regular polygon is the point where the angle bisectors meet.
INCIRCLE	It is the largest circle that will fit inside the triangle.
MEDIAL TRIANGLE	It is the small triangle with vertices at the midpoints of a bigger triangle
MID-SEGMENT TRIANGLE ORTHOCENTER	A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
ORTHIC TRIANGLE	The triangle joining the feet of the altitudes of a triangle is called the orthic triangle.
PEDAL TRIANGLE	The pedal triangle is the triangle whose vertices are the feet of the perpendiculars from the point to the sides of the given triangle.
NINE POINT CIRCLE	It is a circle that passes through nine significant concyclic points defined from the triangle
CENTER OF THE NINE POINT CIRCLE	The center of the circle defined above
TRISECTING A LINE SEGMENT	Dividing a segment into three equal parts
EQUILATERAL TRIANGLE GIVEN ONE SIDE	Equilateral triangles have equal sides and angles. Here one is constructed given one side.
SQUARE GIVEN A SIDE	Four equal sides and four ninety degree angles define a square. Here one is constructed given a side.
ISOSCELES TRIANGLE GIVEN BASE AND ALTITUDE	Isosceles triangles have two equal sides and two equal angles. Here one is constructed given a base and altitude
TRIANGLE CENTERS	Orthocenter, Centroid, Circumcenter and Incenter
TRIANGLE CENTERS WITH EULER LINES	It is a line that passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, and the center of the nine-point circle of the triangle.
LOCUS VERTEX OF A FIXED ANGLE SUBTENDING A FIXED VERTEX	Here one is constructed
DIVIDE A SEGMENT AB INTO TWO PARTS THAT FORM A GOLDEN RATION	Here one is constructed
PENTAGON GIVEN A RADIUS	A polygon with five sides and five angles. Here one is constructed given a radius
PENTAGON GIVEN A SIDE	A polygon with five sides and five angles. Here one is constructed given a side
HEXAGON GIVEN A SIDE	A polygon with six sides and six angles. Here one is drawn given a side
OCTAGON GIVEN A SIDE	A polygon with eight sides and eight angles. Here one is drawn given a side

GPS SCRIP TOOLS

The center of gravity of a triangle, where the three medians of the triangle intersect

The orthocenter of a triangle is the point where all three of its altitudes intersect.

The point where the three perpendicular bisectors of the sides of a triangle meet

The circumcircle or circumscribed circle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter.

The incenter of a triangle or regular polygon is the point where the angle bisectors meet.

It is the largest circle that will fit inside the triangle.

It is the small triangle with vertices at the midpoints of a bigger triangle

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.