The two column proof has shown that ΔGHJ ≅ ΔIHJ by HL Congruency Postulate
How to use Two Column proof?
The two column proof to show that ΔGHJ ≅ ΔIHJ is as follows:
Statement 1: H is the midpoint of GI
Reason 1: Given
Statement 2: JG ≅ JI
Reason 2: Given
Statement 3: ∠GHJ is a right angle
Reason 3:
Statement 4: ∠G ≅ ∠I
Reason 4: Reason
Statement 5: JH ≅ JH
Reason 5: Reflexive property of congruency
Statement 6: GH ≅ HI
Reason 6: Definition of midpoint of line segment
Statement 7: ΔGHJ ≅ ΔIHJ
Reason 7: HL Congruency Postulate