4.3 Exploration
YOUR TASK:
The triangles below have three pairs of congruent sides and this can not be changed. Your task is to drag points A, B and C from triangle ABC so that it is NOT congruent to triangle DEF anymore. The inside of the triangle will turn white if the triangles are not congruent anymore. You can also drag the triangles on top of each other to check.
When you finish exploring this task, answer the questions below.
Do you think it is possible to make two triangles that have the same side lengths but that are NOT congruent? Explain why or why not?
Make a conjecture about what you think this exploration proves about triangles in your own words: