Analytical Geometry
Name__________________________
Unit 1-Constructions
Constructing perpendicular bisectors of a triangle to determine the circumcenter
of a triangle using a compass:
Go to watch the video.
1. Begin with triangle JIL.
2. Draw the perpendicular bisector
of the side JI
3. Draw the perpendicular bisector
of the side LI
4. Draw the perpendicular bisector
of the side JL
5. Mark the intersection of the
perpendicular bisectors as the
circumcenter. Label it C
1. Draw a scalene triangle and name it VKY. Construct the perpendicular
bisectors of the triangle to locate the circumcenter. Explain how you used
your tools to construct a circumcenter. Be use to use vocabulary and the
correct math notation.
2. Draw an obtuse triangle and name it JAF. Construct the perpendicular
bisectors of the triangle to locate the circumcenter. Explain how you used
your tools to construct a circumcenter. Be use to use vocabulary and the
correct math notation.
3. Draw a right triangle and name it SAM. Construct the perpendicular
bisectors of the triangle to locate the circumcenter. Explain how you used
your tools to construct a circumcenter. Be use to use vocabulary and the
correct math notation.
4. Draw an isosceles triangle and name it ACW. Construct the perpendicular
bisectors of the triangle to locate the circumcenter. Explain how you used
your tools to construct a circumcenter. Be use to use vocabulary and the
correct math notation.
5. Draw a scalene triangle and name it DEM. Construct the perpendicular
bisectors of the triangle to locate the circumcenter using patty paper.
Explain how you used your tools to construct a circumcenter. Be use to use
vocabulary and the correct math notation.
6. Draw a scalene triangle and name it BRD. Construct the perpendicular
bisectors of the triangle to locate the circumcenter using patty paper.
Explain how you used your tools to construct a circumcenter. Be use to use
vocabulary and the correct math notation.
7. Go to http://www.youtube.com/watch?v=7W9B6DFVdOY Watch the the video and use
the smart board or a computer to create a triangle with perpendicular
bisectors meeting at the circumcenter. Print your work and put it with this
assignment. Explain how you used the program to copy an triangle.