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write-up #5 Assignment 5

  Useful GSP Scripts !

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Important POINTS of Triangle

Centroid(G), given 3 points

Orthocenter(H), given 3 points

Circumcenter(C), given 3 points

Incenter(I), given 3 points

Above Triangle 4centers (H, G, C, and I) , given 3 points

Above Triangle 4centers (H,G,C,and I)with Euler Line ,given 3points

Important CIRCLES of Triangle

Circumcircle, given 3 points

Incircle, given 3 points

Nine Point Circle, given 3 points

TRIANGLES

Medial triangle

Orthic triangle

Pedal Triangle, given three points and more one point (as Pedal point)

Regular triangle, 2points (Point A and point O; O is center of triangle)

Regular triangle, 2points (point A and point B)

Isosceles triangle, 2points (point A and point B)

Right triangle, 2points (point A and point B)

QUADRANGLES

Square quadrangle1, given 2 points (pointA and point O)

Square quadrangle2, given 2 points (point A and point B)

Square quadrangle, given a side

Rectangle

Parallelogram 1

Parallelogram 2

Trapezoid 1

Trapezoid 2

Rhombus

POLYGON

Pentagon, given two points (vertex and center)

Hexagon, given two points (center and vertex).

Hexagon, given a side.

Octagon, given a side.

CURVES

Parabola, given a line (Directrix) and a point (Focus)

Hyperbora/Ellipse, given three points