Your teacher will give you dried pasta, a set of 3 angles labeled , , and , blank paper, and tape.

1. Create a triangle using 3 pieces of pasta and angle . Your triangle must include the angle you were given, but you are otherwise free to make any triangle you like. Tape your pasta triangle to a sheet of paper so it won’t move.
   1. After you have created your triangle, measure each side length with a ruler and record the length on the paper next to the side. Then measure the angles to the nearest using a protractor and record these measurements on your paper.

   2. Find 2 others in the room who have the same angle and compare your triangles. What is the same? What is different?

   3. Are the triangles congruent? Are the triangles similar? Explain your reasoning. 

2. Now use more pasta and all 3 angles , , and to create 1 new triangle. Tape this pasta triangle on a separate blank sheet of paper.
   1. After you have created your triangle, measure each side length with a ruler and record the length on the paper next to the side. Then measure the angles to the nearest using a protractor and record these measurements on your paper.

   2. Find 2 others in the room who used your same 3 angles and compare your triangles. What is the same? What is different?

   3. Are the triangles congruent? Are the triangles similar? Explain your reasoning.

1. This diagram has several triangles that are similar to triangle .

   

   1. Three different scale factors were used to make triangles similar to . In the diagram, find at least 1 triangle of each size that is similar to .
   2. Explain how you know each of these 3 triangles is similar to .
2. Find a triangle in the diagram that is not similar to .