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

The true statement is D

Step-by-step explanation:

See the attached figures.

Figure (1) is the rest of the question.

Figure (2) will help to find the answer.

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G as shown in figure (2)

Check which option is true:

A) segment EG ≅ segment E'G'  (Wrong)

    Because E'G' is twice greater than EG.

B) The slope of segment EF is the same as the slope of segment E'H' (Wrong)  Because these lines are not parallel.

C) segment H'F' will overlap segment HF  (Wrong)

    because they are parallel

D)  segment EH and segment E'H' both pass through the center of dilation.

  (True)  because the center of dilation belongs to EH and E'H'.