** Write-Up #5**:

This assignment provides the different automatic sketches under the GSP application. Note that the initial conditions are stated in order to use the scripts:

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HEREforCentroidG of a triangle, given three points.

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forHEREOrthocenterH of a triangle, given three points.

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HEREforCircumcenterC of a triangle, given three points.

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forHEREIncenterI of a triangle, given three points.

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for construction of G, H, C, and IHEREon the same trianglewhere there areno connecting linesamong the points (Euler Line).

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for construction of G, H, C, and IHEREon the same triangle(omitting point I) among the points (Euler Line).with connecting linesClick

for theHERECircumcircle, given three points.Click

forHEREMedial Triangle, given three points.Click

forHEREOrthic Triangle, given three points.Click

forHERENine Point Circle of a triangle, with center N, given three points. (Orthocenter H must be inside triangle in order for circle to be drawn about center N.)Click

forHEREInternal and External Tangent Linesto two given circles given 4 points: the1st pointis the location of the larger circle,2d pointis the radius-distance of the 1st circle, 3d point is location of thesmallercircle, and the 4th point is the radius-distance of the 2d circle.Click

forHEREPedal Triangle, given three points for a triangle and anoutside, fourth point.Click

forHERETriangle and Its Orthocenter Triangles, given three points.Click

forHERECircumcircles of a Triangle, given three pointsandIts Orthocenter Triangles

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