If triangle ABC is congruent to triangle DEF, what would be the coordinate of F?

Question

If triangle ABC is congruent to triangle DEF, what would be the coordinate of F?

1. (6, 3) 
2. (7, 3) 
3. (6, 4) 
4. (7, 4)

Answer 1

Noting that A has been translated 4 units to the right to obtain D, and the same is true for points B and E. To find F: just add 4 to E's x value and leave y the same.

So, (2,3) --> (2+4,3) --> (6,3)

The correct answer is choice (1).

Answer 2

Has to be (6, 3) using the distance formula or a translation.