Question : If $\triangle ABC$ and $\triangle DEF$ are congruent triangles, which of the following is FALSE?
Option 1: The ratio of AC to DF is 2 : 1.
Option 2: The perimeters of both the triangles are equal.
Option 3: AB = DE and BC = EF
Option 4: The ratio of the angles in both the triangles is the same.
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Correct Answer: The ratio of AC to DF is 2 : 1.
Solution :
Given: $ \triangle ABC$ and $\triangle DEF$ are congruent triangles.
When two triangles are congruent, their corresponding sides and angles are also congruent.
Option 1: The ratio of AC to DF is 2 : 1. This is incorrect.
Option 2: The perimeters of both triangles are equal. This is correct.
Option 3: AB = DE and BC = EF. This is correct.
Option 4: The ratio of the angles in both triangles is the same. This is correct.
Hence, the correct answer is "The ratio of AC to DF is 2 : 1".
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