Every triangle is made of six parts: three sides and three angles. Proving two triangles are congruent requires [b]only three [/b]of those six parts.[br][br]Below in the applet is a pre-made triangle: [math]\bigtriangleup[/math]ABC.[br][br][b]Objective: [/b]Take any three parts of the triangle, and attempt to create a triangle with the three parts. Answer the two questions below for each combination of parts you given.
1) Each point labeled A regardless of subscript corresponds to point A in [math]\bigtriangleup[/math] ABC. The same is true for all of the Bs and Cs.[br][br]2) Using the points on the line segments, you can either rotate the segment around a point or pick up the whole segment. [br][br]3) All the segments of the angles can be extended or shortened as needed.[br][br]
Using any combination of [b]three[/b] parts of the triangle, answer the following questions for each combination you attempt.[br][br]1. Can you create a congruent triangle with your parts?[br][br]2. Can you create 2 different triangle with your parts?[br][br]List all of the combinations which you can answer yes to number 1 and no to number 2 in the space provided.
1) Take a screen shot of each of your attempts.[br]2) Add your screenshots to the groups OneNote page for this activity.[br]3) Title of Page: [b]Creating Congruent Triangles[br][/b]4) Repeat using 3 different components until your group has tried all possible combinations using 3 parts.