Given: AB || DC
∠A ≅ ∠D
Prove: ΔABC ≅ ΔDCB
Triangles A B C and D C B share common side C B. Angles C D B and C A B are congruent. Sides C D and A B are parallel.
Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?
∠ABC ≅ ∠BAC; corresponding angles of parallel lines are congruent.
∠CAB ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ACD ≅ ∠ABD; corresponding angles of parallel lines are congruent.
