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Rayen Antillanca. Assignment 5


 

This page contains a library of GPS script tool. The idea is to use many times and efficient these tools.

 

1. Centroid

The centroid (G) of a triangle is the point where the three medians intersect.

2. Orthocenter

The orthocenter (H) of a triangle is the point where the three altitudes of the triangle intersect.

3. Circumcenter

The circumcenter (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle.

4. Circumcircle

The circumcircle of a triangle is a circumscribed circle that passes three vertices of the triangle, and its center is the circumcenter.

5. Incenter

The incenter (I) of a triangle is the point on the interior of the triangle that is equidistant from the three sides.

6. Incircle

The incircle of a triangle is an inscribed circle whose center is the incenter.

7. Medial triangle

The medial triangle is a triangle with vertices as the midpoints of the triangle.

8. Orthocenter, Mid-segment triangle

The mid-segment triangle is a triangle that is formed by mid-segments of a triangle, which are the lines segments joining midpoints of two sides of a triangle.

9. Orthic triangle

The orthic triangle is a triangle joining the feet of the altitudes of the triangle.

10. Pedal triangle

The pedal triangle is a triangle whose vertices are the feet of perpendiculars from each vertex of the triangle to their opposite sides in the triangle.

11. Center of Nine point circle

The center of nine point circle is the center of the nine point circle.

12. Nine Point Circle

The nine point circle is a circle that passes through nine significant points, six lying on the triangle itself (unless the triangle is obtuse). They include:

  • The midpoint of each side of the triangle
  • The foot of each altitude
  • The midpoint of the segment of each altitude from its vertex to the orthocenter (where the three altitudes meet)

13. Trisecting a line segment

This tool is how to draw trisecting points of a line segment.

14. Equilateral triangle, given a side

The equilateral triangle is a triangle that has three congruent sides. This tool is how to draw an equilateral triangle with given side.

15. Square, given a side

The square is a quadrilateral that has four congruent sides and four congruent angles. This tool is how to draw a square with given side.

16. Isosceles triangle, given base and altitude

The isosceles triangle is a triangle that has two congruent sides. This tool is how to draw an isosceles triangle with given base and altitude.

17. Triangle Centers (H, G, C, and I)

The four centers of triangles are orthocencer (H), centroid (G), circumcenter (C), and incenter (I).

18. Triangle Centers with Euler Line

The Euler Line of a triangle is a line that passes the Center of nine point circle, the Circumcenter (C), Centroid (G), and Orthocenter(H) of the triangle.

19. Locus of vertex of a fixed angle that subtends a fixed segment

This is how to draw a locus of the vertex of a fixed angle that subtends a fixed segment.

20. Divide a segment AB into two parts that form a golden ratio

A golden ratio of a line segment is the ratio that is the length of the larger portion of the line segment to the length of the whole line segment. The golden ratio which is named . ( )

21. Pentagon, given a radius

The pentagon is a polygon that has five sides. This tool is how to draw a pentagon with given radius.

22. Pentagon, given a side

The pentagon is a polygon that has five sides. This tool is how to draw a pentagon with given side.

23. Hexagon, given a side

The hexagon is a polygon that has six sides. This tool is how to draw a hexagon with given side.

24. Octagon, given a side

The octagon is a polygon that has eight sides. This tool is how to draw an octagon with given side.

25. Circle tangent to the two circles

Circle tangent to the two circles with one point of tangency being the designated point.

26. Locus not surround inside circle

This animation draws a locus of a tangent circle to the two circles with one point of tangency being the designated point when it does not surround the inside circle

27. Locus surround the inside circle

This animation draws a locus of a tangent circle to the two circles with one point of tangency being the designated point when it does surround the inside circle

28. Locus of a tangent circle two circles

This animation draws the locus of the circles (when it does not surround the inside circle and when it does surround the inside circle) which are tangent two circles with one point of tangency being the designated point.

29. Locus of a tangent circle two circles intersect to each other

This animation draws the locus of the circles (when it does not surround the inside circle and when it does surround the inside circle) which are tangent two circles with one point of tangency being the designated point when these two circles are intersected.

30. Locus of a tangent circle two circles are separate to each other

This animation draws the locus of the circles (when it does not surround the inside circle and when it does surround the inside circle) which are tangent two circles with one point of tangency being the designated point when these two circles are separated.

 

Note: All tools on this web page were made with The Geometerís Sketchpad

 

 

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