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determine whether the triangles are similar. if so, what is the similarity statement and the postulate or theorem used?

a) dgh dfe; sss
b) dgh dfe; sas
c) dgh feg; sas
d) the triangles are not similar

We sketch two triangles, DFE and DGH, as shown below 

Side DF correspond to side DG, the scale factor is 40÷32=1.25

Side DE correspond to side DH, the scale factor is 30÷24=1.25

That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25

Both triangles share the same angle D

We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS

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