SOLUTION: can you please help me with this two column proof? the given is: F is the midpoint of (segment) EH and (segment) IG i need to prove triangle EFI is congruent to triangle HFG

Algebra ->  Geometry-proofs -> SOLUTION: can you please help me with this two column proof? the given is: F is the midpoint of (segment) EH and (segment) IG i need to prove triangle EFI is congruent to triangle HFG       Log On


   

Question 117649: can you please help me with this two column proof?
the given is: F is the midpoint of (segment) EH and (segment) IG i need to prove triangle EFI is congruent to triangle HFG
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Something like this:
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1. Column I: F is the midpoint of segment EH ... Column II: Given
2. Column I: Segement EF congruent to Segment FH ... Column II: Definition of midpoint
3. Column I: F is the midpoint of segment IG ... Column II: Given
4. Column I: Segement IF congruent to Segment FG ... Column II: Definition of midpoint
5. Column I: Angle EFI congruent to Angle GFH ... Column II: Vertical Angles are congruent.
6. Column I: Triangle EFI congruent to Triangle HFG ... Column II: Side-Angle-Side congruent to Side-Angle-Side
7. q.e.d.
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If you have a question about vertical angles, Wikipedia has a good definition showing what
they are and how they are congruent.
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You can probably understand this problem better if you sketch it and mark the congruent
parts as you identify them in the proof. It will help you to visualize what is going on.
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You may have to put this "proof" in terms that are acceptable to your teacher, but this "proof"
contains the basic elements you need for the problem.
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Hope this helps you with two column proofs.
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