If for $∆ A B C$ and $∆ D E F$ , the correspondence $C A B \leftrightarrow E D F$ gives a congruence, then which of the following is not true?

$A C = D E$
$A B = E F$
$∠ A = ∠ D$
$∠ C = ∠ E$

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Solution

The correct option is B
$A B = E F$

Explanation for correct option:
The given triangles are $△ A B C$ and $△ D E F$ .
The congruency is given as $C A B \leftrightarrow E D F$
Here, the side $A B ≅ D F$ , and not side $E F$ .
Explanation for incorrect options: a) $A C = D E$
Side $C A \leftrightarrow E D$ and so, side $A C = D E$ (Corresponding sides are equal)
c) $∠ A = ∠ D$
Corresponding angles of congruent triangles are equal.
d) $∠ C = ∠ E$
Corresponding angles of congruent triangles are equal.
Hence, the correct answer is option B.

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If for $Δ A B C$ and $Δ D E F$ , the correspondence $C A B \leftrightarrow E D F$ gives a congruence, then which of the following is not true?

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c) $∠ A = ∠ D$
d) $∠ C = ∠ E$

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