Use the image to answer the question. △ABC is congruent to △GHE . Describe a sequence of transformations from △ABC to △GHE that proves their congruence
Based on the image, we can observe that triangle ABC appears to be a reflection and rotation of triangle GHE.
To describe a sequence of transformations that proves the congruence between triangle ABC and triangle GHE, we can follow these steps:
1. Translation: Move triangle ABC to a new position that aligns one vertex with the corresponding vertex of triangle GHE.
This translation ensures that the triangles have the same starting point.
2. Rotation: Rotate triangle ABC around a center point so that it aligns with the angles and sides of triangle GHE.
The rotation should be centered at the common vertex and match the angles and sides of the two triangles.
3. Reflection: Reflect triangle ABC over a line so that it perfectly overlaps with triangle GHE.
Choose a line of reflection that passes through the corresponding vertices.
These three transformations - translation, rotation, and reflection - will ensure that triangle ABC and triangle GHE are congruent.