If ABC ~ EDF and ABC is not similar to DEF, then which of the following is not true?

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Solution

Q.
If $∆$ ABC ~ $∆$ EDF and $∆$ ABC is not similar to $∆$ DEF, then which of the following is not true

1 BC. EF = AC. FD

2 AB. EF = AC. DE

3 BC. DE = AB. EF

4 BC. DE = AB. FD

Ans.
(3)

Since, $∆$ ABC ~ $∆$ EDF

Therefore, the ratio of their corresponding sides is proportional.

$\Rightarrow \frac{B C}{E F} = \frac{A B}{D E} \Rightarrow B C . D E \neq A B . E F$

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