Question

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?
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E(0,5) F(1,1) G(-2,1) H(0,1)

segment EH and segment E prime H prime both pass through the center of 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 EH ≅ segment E prime H prime.

Answer 1

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.