Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment. Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?

The slope of segment EF is the same as the slope of segment E prime H prime.
segment E prime G prime will overlap segment EG.
segment GF and segment G prime F prime both pass through the center of dilation.
segment EF ≅ segment E prime F prime.