G.6.1 Practice Problems

Reflect triangle ABC over the line x = -3. Translate the image by the directed line segment from (0, 0) to (4, 1). What are the coordinates of the vertices in the final image?

Triangle ABC has coordinates A = (1, 3), B = (2, 0) and C = (4, 1). The image of this triangle after a sequence of transformations is triangle A'B'C' where A' = (-5, -3), B' = (-4, 0), and C' = (-2, -1). Write a sequence of transformations that takes triangle ABC to triangle A'B'C'. You can use the graph below to help you.

Prove triangle ABC is congruent to triangle DEF.