Analytical Geometry
Name__________________________
Unit 1-Constructions
Constructing angle bisectors of a triangle to determine the incenter of a triangle
using a compass:
Go to http://www.mathopenref.com/constincenter.htmlwatch the video.
1. Begin with triangle JIL.
2. Construct the bisector of angle J
3. Draw a segment to the opposite
side IL
4. Construct the bisector of angle I
5. Draw a segment to the opposite
side JL
6. Construct the bisector of angle L
7. Draw a segment to the opposite
side IJ
8. Place a point where the 3 angle
bisectors intersect. Label the
incenter C
1. Draw a scalene triangle and name it VKY. Construct the angle bisectors of
the triangle to locate the incenter. Explain how you used your tools to
construct the incenter. Be use to use vocabulary and the correct math
notation.
2. Draw an obtuse triangle and name it JAF. Construct the angle bisectors of
the triangle to locate the incenter. Explain how you used your tools to
construct the incenter. Be sure to use to use vocabulary and the correct
math notation.
3. Draw a right triangle and name it SAM. Construct the angle bisectors of the
triangle to locate the incenter. Explain how you used your tools to
construct the incenter. Be sure to use vocabulary and the correct math
notation.
4. Draw an isosceles triangle and name it ACW. Construct the angle bisectors
of the triangle to locate the incenter. Explain how you used your tools to
construct the incenter. Be use to use vocabulary and the correct math
notation.
5. Draw a scalene triangle and name it DEM. Construct the angle bisectors of
the triangle to locate the incenter using patty paper. Explain how you used
your tools to construct a centroid. Be use to use vocabulary and the correct
math notation.
6. Draw a scalene triangle and name it BRD. Construct the angle bisectors of
the triangle to locate the incenter using patty paper. Explain how you used
your tools to construct a centroid.. Be use to use vocabulary and the
correct math notation.
7. Go to http://www.youtube.com/watch?v=9xnnwFd4LTE Watch the the video and use
the smart board or a computer to create a triangle with the medians
meeting at the centroid. Print your work and put it with this assignment.
Explain how you used the program to copy an triangle.