Triangle Proofs; Proving a theorem does not prove that the converse of the
theorem is also true. Is this statement true or false?

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03-05-2021
Mathematics

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Triangle Proofs; Proving a theorem does not prove that the converse of the
theorem is also true. Is this statement true or false?

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Eunicereblandoidn Eunicereblandoidn · Answer 1 · 2021-05-03T00:30:44-04:00

Eunicereblandoidn Eunicereblandoidn

03-05-2021

Answer:

The truth value of the converse of a statement is not always the same as the original statement. For example, the converse of "All tigers are mammals" is "All mammals are tigers." This is certainly not true. The converse of a definition, however, must always be true.

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