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Given: ABCD is a parallelogram.
Prove: AB CD and BC DA

Given: ABCD is a parallelogram. Prove: AB CD and BC DA-example-1
User Arfeen
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Answer:

Step-by-step explanation:

Since ABCD is a parallelogram, we know that its opposite sides are parallel. That is, AB is parallel to CD and BC is parallel to DA.

To prove that AB = CD, we can use the fact that opposite sides of a parallelogram are congruent. That is, AB is congruent to DC. So, we can write:

AB = DC

Similarly, to prove that BC = DA, we can use the same fact. That is, BC is congruent to AD. So, we can write:

BC = AD

Therefore, we have proven that AB = CD and BC = DA, which shows that the opposite sides of the parallelogram ABCD are congruent.

User Raz
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