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