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Geometry Triangle Construction Project
DUE DATE: Monday, November 16, 2016
Name:________________________________
Using a ruler and a protractor, you will construct the angle bisectors, perpendicular bisectors, altitudes and
medians for 4 different triangles.
1. Right Triangle
2. Isosceles Triangle
3. Obtuse Scalene Triangle
4. Equilateral Triangle
The main purpose of this project is for you to have a better understanding of the properties of each of these
constructions as well as the location of the points of concurrency.
WAIT…….What’s a point of concurrency?
Definition
Facts/Characteristics
Point of Concurrency
Examples
Non-Examples
If you are not sure what a perpendicular bisector, angle bisector, median or altitude are, then check out the
videos sent on Remind (and posted on my website) which will briefly go over all 4 special segments.
PROJECT GUIDELINES
 You received four triangles in your packet: right triangle, isosceles triangle, obtuse scalene triangle, and
equilateral triangle. Construct the 3 medians, 3 altitudes, 3 perpendicular bisectors and 3 angle bisectors
on EACH triangle. Use the colors given in the key. It is best if you use colored pencils to do this.
 All points of concurrency are clearly marked and labeled (for each triangle).
 All congruent segments and congruent angles should be clearly marked as well as any right angles.
 Label each triangle in the following manner:
o At the top, classify the triangle. This is your title (equilateral, obtuse scalene, etc.)
o Name the points of concurrency of the medians, altitudes, perpendicular bisectors and angle
bisectors for each triangle (ex. Orthocenter: point W, Incenter: point K, etc.)
o Also write where the point of concurrency is located (inside, outside or on the triangle)
 Each paper should have your name on it and should be paper clipped or stapled together! You must turn
in this sheet and all the triangle drawings.
 Project should be neat, accurate, and organized. All lines should be drawn with a ruler, and the vertices
of the triangles should be labeled.
If you need additional help with constructions, see Ms. Hanisco during HATS 3A or 3C
PROJECT REFLECTION
Once the project is COMPLETED, answer the following questions. Fill in the blank with Always,
Sometimes, or Never.
1. The angles bisector of a triangle is __________________________the perpendicular bisector.
2. The median of the triangle is __________________________the perpendicular bisector.
3. The altitude of the triangle is __________________________the perpendicular bisector.
4. The centriod of a triangle is __________________________the circumcenter of the triangle.
5. The altitude from the vertex angle of an isosceles triangle is _________________________ the median.
6. The median of any side of an equilateral triangle is __________________________the angle bisector.
7. The altitude of a triangle is __________________________ the angle bisector of a triangle
8. The incenter of a triangle is __________________________the centroid of a triangle.
9. On your triangles, look at where the circumcenter is located. What would be a general rule you can
come up with that describes where a circumcenter would be located in a triangle? (go to
http://bit.ly/2fVjqY0 for an interactive page to help you answer this question)