Respuesta :
Answer:
A
First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.
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The sequence to prove that AD = BC is; First prove ABC is similar to CDA, and then state AD and BC are opposite sides of the parallelograms.
How to prove Quadrilateral Theorems?
From the question, we see that the parallelogram ABCD has a diagonal AC. Thus; AB║ CD and AD║BC.
Now, the parallelogram is divided into two triangles ΔABC and ΔADC by its diagonal AC.
Thus;
∠ACB = ∠DAC and ∠CAB = ∠ACD because they are alternate interior angles.
Also, AC = AC (Reflexive property)
Thus; by ASA congruence postulate, we can say that; ΔABC ≅ ΔADC
Also, by corresponding sides of the congruent triangles are congruent we can say that AD = BC.
Read more baout Quadrilateral proofs at; https://brainly.com/question/2698923