Asked by Gerald
Write a two-column proof.
If FG ⊥ IJ and IG ≅ JG, then FI ≅ FJ
If FG ⊥ IJ and IG ≅ JG, then FI ≅ FJ
Answers
Answered by
Steve
If IJ intersects FG at M, then angles IMG and JMG are right angles
MG is common to both triangles IMG and JMG.
So, via the Pythagorean Theorem, IM ≅ JM.
Now use that last fact, along with the common side FM to show that triangles IMF and JMF are congruent.
That means that IF≅JF
MG is common to both triangles IMG and JMG.
So, via the Pythagorean Theorem, IM ≅ JM.
Now use that last fact, along with the common side FM to show that triangles IMF and JMF are congruent.
That means that IF≅JF
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