List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangles. Plz this is due today!!!! I tried 3 times already!!!! More in pic.

9514 1404 393
Answer:
Step-by-step explanation:
As with the angle pairs, use the corresponding vertices to name corresponding segments.
As is done here, I find it convenient to list the vertices vertically in the order shown in the similarity statement.
This can make it easier to identify the corresponding vertices used for naming segments.
__
Moving on the the extended proportion, ...
The denominator HI uses the first two vertices, with E corresponding to H and F corresponding to I. The appropriate ratio is ...
 EF/HI
The denominator HJ uses the 1st and 3rd vertices, with E (still) corresponding to H and J corresponding to G. The appropriate ratio is ...
 EG/HJ
Similar thinking is used to identify the last ratio:
 FG/IJ
Then the extended proportion is ...
 EF/HI = EG/HJ = FG/IJ