Given: ∠FHG and ∠KJG are right angles;
FH ≅ KJ

Prove: △FGH ≅ △KGJ

✓ 1. We know that ∠FHG ≅ ∠KJG because they are acute angles they are vertical angles all right angles are congruent .

✓ 2. We know that ∠FGH ≅ ∠KGJ because they are adjacent supplementary vertical angles.

✓ 3. △FGH ≅ △KGJ because AAA AAS vertical angles are congruent .