Question

A student states that the translation of triangle ABC is A’B’C’. What measurements or properties of lines AA', BB', and CC' do you need to confirm that it is a translation? :D

Answer 1

If you can show that the following two items are true

• AA' = BB' = CC'
• AA' || BB' || CC'

then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.