Triangle ABC is translated onto its image, triangle A'B'C'. Use the given vertices of the triangles to answer parts A and B.

A(-6, 0) B(-1, 0) C(-5, 3)

A'(-2, 4) B'(3, 4) C'(-1, 7)

Part A: Use the distance formula to prove that the translation was an isometric transformation. Include all of your work in your final answer.

Part B: Use complete sentences to describe the translation that maps triangle ABC onto its image.

Question

Triangle ABC is translated onto its image, triangle A'B'C'. Use the given vertices of the triangles to answer parts A and B.

A(-6, 0) B(-1, 0) C(-5, 3)

A'(-2, 4) B'(3, 4) C'(-1, 7)

Part A: Use the distance formula to prove that the translation was an isometric transformation. Include all of your work in your final answer.

Part B: Use complete sentences to describe the translation that maps triangle ABC onto its image.