Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB
Prove: ΔBCA Is-congruent-to ΔBFA
Triangles C B A and F B A share common side B A. Angles C B A and A B F are congruent. Angles C A B and B A F are congruent.
Complete the missing parts of the paragraph proof.
We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because
. We see that
is congruent to
by the reflexive property of congruence. Therefore, we can conclude that triangle BCA is congruent to triangle BFA because
What is corresponding angel?
What is the property of congruence?