Input data
GH║KL and J is the midpoint of HK.
To Prove:
[tex]\Delta GHJ\cong\Delta LKJ[/tex]
Statements Reasons
1. GH║KL 1. Given
2. J is the midpoint of HK 2. Given
3. JH ≅ JK 3. Definition of the midpoint of a segment
4. ∠JKL ≅ ∠JHG 4. Alternate interior angles
5. ∠GJH ≅ ∠KJL 5. Vertically opposite angles
6. ΔGHJ ≅ ΔLKJ 6. By ASA theorem of congruence
