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1. Prove that the construction of the perpendicular bisector of a line segment works

1. Prove that the construction of the perpendicular bisector of a line segment works. C. § 6.1. E. B. A. D. 2. Prove that the construction to copy an angle works. B. E. A. D. C. F. 3. Use paper folding to locate the centroid of a triangle.

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1. Prove that the construction of the perpendicular bisector of a line segment works

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  1. 1. Prove that the construction of the perpendicular bisector of a line segment works C § 6.1 E B A D

  2. 2. Prove that the construction to copy an angle works. B E A D C F

  3. 3. Use paper folding to locate the centroid of a triangle. 4. Use paper folding to locate the incenter of a triangle. 5. Use paper folding to locate the circumcenter of a triangle. 6. Use paper folding to locate the orthocenter of a triangle. Ask in class if you wish to see any of these paper foldings.

  4. 7 and 8. The following website does the nine point circle. http://www.gogeometry.com/center/nine_point_center_euler.html

  5. 9. Research the location of this center and tell me another way to locate the center. The center of the nine-point circle lies on the Euler line. It is midway between the orthocenter and circumcenter on that line. The centroid is also on that line.

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