Chapter 4 - Congruent Triangles - 4-3 Triangle Congruence by ASA and AAS - Practice and Problem-Solving Exercises - Page 239: 20

△FGJ and △HJG are congruent using Postulate 4-3 Angle-Side-Angle (ASA) Postulate

Proof: ∠FJG ≅ ∠HGJ is Given FG ‖ JH is Given GJ ≅ GJ - Reflexive Property of Congruence ∠FGJ ≅∠GJH - If lines are ‖, the alternate interior ∠are ≅ △FGJ ≅ △HJG - Postulate 4-3 Angle-Side-Angle (ASA) Postulate