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Gsp5 construct circumcenter1/5/2024 ![]() Repeat steps 3 – 5 for segments BC and CA.ħ. GSP then construct the perpendicular line on the diagram.Ħ. Then go to CONSTRUCT on the toolbar and select Perpendicular Line from the list. Select the segment AB and the midpoint of AB by using the Select or Drag button on the left of the screen and clicking on the segment and the midpoint. GSP then constructs the midpoint of the segment AB on your diagram.ĥ. Go to CONSTRUCT on the toolbar and select Midpoint from the list. Using the Select or Drag button on the left of the screen, select the segment AB.Ĥ. In this example we will use the labels A, B, and C as the names of each of the three vertices on the triangle.ģ. Notice that as you click on each vertex, GSP labels the vertex for you. Using the Create Text and Labels button on the left of the screen, label each vertex by clicking on each vertex one at a time. Using the Construct Segment button on the left of the screen, draw a triangle.Ģ. The following are directions on how to find the circumcenter and the circumcircle using GSP:ġ. By constructing a circle using the center point that we have found, we now have the circumcircle. Further, this point is equal distance from all three vertexes of the triangle. After completing all of the perpendicular bisectors of all three segments, you can see that the perpendicular bisectors intersect each other at one point. The circumcenter of a triangle is found by finding the midpoints of the segments that comprise a triangle and drawing the perpendicular bisectors of each of the three segments. In order to construct the circumcircle of a triangle you must first construct the circumcenter.
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