Question

in the diagram below angle E congruent angle H enter the segments in tye blanks provided that would result in a true equation

Answer 1

DF/GF or DE/GH

Step-by-step explanation

We know that angle H and angle E are congruent. We also know that angles HFG and EFD are congruent too because they are vertical angles. Thus, by the AA postulate, triangles HGF and EDF are similar.

If two figures are similar, the ratio between corresponding sides must be constant. Of these two triangles, the corresponding sides are

• EF and HF

,

• DF and GF

,

• DE and GH

So the ratio between corresponding sides is,

`(EF)/(HF)=(DF)/(GF)=(DE)/(GH)`

The answers could be DF/GF or DE/GH