Question

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.

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
.

Answer 1

it is given

side BA

side BA

of ASA

Explanation:

Answer 2

ΔBCA ≅ ΔBFA, to prove congruent of triangle missing Part in Proof is Equal Sides ( common side).

Common Side BA is the Missing Piece of the Proof.

The reasons given in the evidence are sufficient to demonstrate that

ΔBCA Is Similar to ΔBFA

ΔBFA ≈ ΔBCA,

but not sufficiently to demonstrate that

ΔBCA is compatible with ΔBFA.

ΔBCA ≅ ΔBFA:

To demonstrate congruent triangles, we must demonstrate that the corresponding sides are likewise equal.

Consequently, we must demonstrate that

BA = BA (common side) in order for the proof to be complete.

Hence missing Part in Proof is Equal Sides ( common side)