Triangle ABC is congruent to triangle GHE Describe a sequence of transformations from triangle ABC to triangle GHE, that proves there congruence
To prove that triangle ABC is congruent to triangle GHE, we will perform a sequence of transformations.
1) Translation: Perform a translation of triangle ABC so that point A coincides with point G. This will move triangle ABC to a new position, but it will maintain its size and shape.
2) Rotation: Perform a rotation of triangle ABC around point G so that segment AB coincides with segment GH. The rotation should be such that side BC coincides with side HE. This will rotate triangle ABC into the position of triangle GHE.
3) Reflection: Finally, perform a reflection of triangle ABC over a line passing through point G so that point C coincides with point E. This reflection will flip triangle ABC horizontally and move it into the final position of triangle GHE.
By performing these three transformations: translation, rotation, and reflection, we have shown that triangle ABC is congruent to triangle GHE.