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True or false. if triangle ABC~triangle DEF, then AB/DE=CA/FD​

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2 votes

Answer:

True

Explanation:

For two triangles to be similar, their corresponding sides have to be proportionate.

That means that AB/CA = DE/FD, AB/BC = DE/EF, and CA/BC = FD/EF.

The corollary to the means-extremes theorem shows that the proportion will remain true even if the numerator of one ratio switches with the denominator of the other ratio.

That means that AB/DE = CA/FD, in this situation.

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