Joke Collection Website - Mood Talk - As shown in figure ABCD, four points are on a straight line, DE‖AF, DF‖AE. What conclusion can you draw? Tell me your reasons.

As shown in figure ABCD, four points are on a straight line, DE‖AF, DF‖AE. What conclusion can you draw? Tell me your reasons.

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).