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 2 centered at (0, 2) to create triangle e'f'g'. which statement is true about the dilation?

a. segment eg ≅ segment e prime g prime.
b. the slope of segment ef is the same as the slope of segment e prime h prime.
c. segment h prime f prime will overlap segment hf.
d. segment eh and segment e prime h prime both pass through the center of dilation.