Looking for one Move
You are given two congruent triangles that have the same orientation. Using GeoGebra's tool, build a single rotation that takes the green triangle to the brown triangle.
Before you do anything:
Triangle ABC is the original triangle. See what happens when you change the lengths of the sides on triangle ABC.
Point D is fixed. You can rotate triangle DEF around D by moving point E.
Use the mouse to see that triangle DEF is indeed congruent to triangle ABC.
Use the upper right-hand corner reset icon, so that the triangles are back in their original position.
- Why can't the single move be a translation?
- Why can't the single move be a reflection?