Respuesta :
We can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.
What clearly does the term "triangle congruency" mean?
- Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure.
- These triangles can be moved, rotated, flipped, and turned to appear identical.
- If they are repositioned, they will coincide.
- If two triangles satisfy the five congruence conditions, they are congruent.
- They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
Given: BA ≅ DC, ∠ B A C ≅ ∠ D C A
To Prove: BC ≅ DA
First, we'll prove the △BAC ≅ △DAC
- BA = DC = Given
- ∠BAC = ∠DCA = Given
- AC = AC = Common base
So, △BAC ≅ △DAC under SAS conditions.
- Then we can say that BC ≅ DA is under (CPCT).
Therefore, we can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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