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AED, let's talk

A:

Conclusion 1 and quadrilateral AEDF are parallelograms.

Reason: Two groups of parallelograms with parallel opposite sides are parallelograms (definition).

Conclusion 2: There are 6 triangles in the diagram.

Reasons: △DEC, △ECA, △ADE, △DFB, △ABF, △AFB.

Conclusion 3. △AED?△DFA

Reason: The opposite sides of the parallelogram are equal. In the parallelogram deaf, DF=AE, FA=ED and AD=DA, so △ AED △ DFA (SSS).