1. FH ⊥ GH
1. given
2. KJ ⊥ GJ
2. given
3. ∠FHG and ∠GJK are right angles
3. def. of perpendicular lines
4. ∠FHG ≅ ∠GJK
4. ♣
5. ∠FGH and ∠KGJ are vertical angles
5. def. of vertical angles
6. ♦
6. vertical angles theorem
7. △FHG ~ △KJG
7. ♠