ΔEFI is dilated by a scale factor of one third with the center of dilation at point F. Then, it is reflected over line a to create ΔHFG. Based on these transformations, which statement is true? A. segment FE = segment FH over 3, segment FI = segment FG over 3, and segment EI = segment HG over 3; ΔEFI ~ ΔHFG

B. segment FE = segment FG over 3, segment FI = segment FH over 3, and segment EI = segment HG over 3; ΔEFI ~ ΔGFH

C. segment FE over 3 = segment FG, segment FI over 3 = segment FH, and segment EI over 3 = segment HG; ΔEFI ~ ΔGFH

D. segment FE over 3 = segment FH, segment FI over 3 = segment FG, and segment EI over 3 = segment HG; ΔEFI ~ ΔHFG

D. segment FE over 3 = segment FH, segment FI over 3 = segment FG, and segment EI over 3 = segment HG; ΔEFI ~ ΔHFG

Step-by-step explanation:

Transformation is a process used to resize a given figure, but retain its shape. Types are; dilation, reflection, rotation and translation.

In the given question, dilating ΔEFI by a scale factor of one third reduces the length of each side of the triangle. Reflecting it over a given line implies turning it in such a way that its vertex on the line, F, retains it position compared to other angles to produce ΔHFG.

So the true statement is: segment FE over 3 = segment FH, segment FI over 3 = segment FG, and segment EI over 3 = segment HG; ΔEFI ~ ΔHFG

believe it or not anna is correct good job anna give me a fist bump there u go gal