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
.

Angles that are identical to one another are referred to as congruent angles.
As a result, these angles have the same measure as one another.
The congruence of angles is unaffected by the type of angle, therefore they can be acute, obtuse, exterior, or interior angles.
In the fields of architecture, building, design, and fine art, congruent angles are commonly used.
An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.
The angles of a regular polygon will always be congruent, regardless of its size or scale.

Common Side BA is the Missing Piece of the Proof.

The reasons given in the evidence are sufficient to demonstrate that BCA and BFA are similar.

ΔBFA≅ ΔBCA, but not sufficiently to demonstrate that BCA is compatible with BFA.

To demonstrate congruent triangles, we must demonstrate that the corresponding sides are likewise equal, so we must demonstrate that BA = BA (common side) before the Proof is complete.

Hence, Equal sides are the paragraph's omission.

To learn more about congruent triangles refer to:

https://brainly.com/question/28262429

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