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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Question : What is the ASA congruence rule of triangles, where A and S represent the angle and side of the triangle respectively?
Question : In $\triangle$ABC and $\triangle$DEF, $\angle$A = $55^{\circ}$, AB = DE, AC = DF, $\angle$E = $85^{\circ}$ and $\angle$F = $40^{\circ}$. By which property are $\triangle$ABC and $\triangle$DEF congruent?
Question : Which of the following statements is FALSE?
Question : For congruent triangles $\triangle$ABC and $\triangle$DEF, which of the following statements is correct?
Question : $\triangle ABC \sim \triangle DEF$ and the perimeters of $\triangle ABC$ and $\triangle DEF$ are 40 cm and 12 cm respectively. If DE = 6 cm then AB is:
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