Question : For congruent triangles $\triangle$ABC and $\triangle$DEF, which of the following statements is correct?
Option 1: Perimeter of $\triangle \mathrm{ABC}=\frac{1}{2}$ Perimeter of $\triangle \mathrm{DEF}$
Option 2: Perimeter of $\triangle \mathrm{ABC}=$ Perimeter of $\triangle \mathrm{DEF}$
Option 3: Perimeter of $\triangle \mathrm{ABC}<$ Perimeter of $\triangle \mathrm{DEF}$
Option 4: Perimeter of $\triangle \mathrm{ABC}>$ Perimeter of $\triangle \mathrm{DEF}$
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Correct Answer: Perimeter of $\triangle \mathrm{ABC}=$ Perimeter of $\triangle \mathrm{DEF}$
Solution : For congruent triangles $\triangle {ABC}$ and $\triangle {DEF}$, $AB = DE$, $BC = EF$, $AC=DF$ So, $AB+BC+AC=DE+EF+DF$ So, perimeter of $\triangle \mathrm{ABC}=$ Perimeter of $\triangle \mathrm{DEF}$ Hence, the correct answer is 'Perimeter of $\triangle \mathrm{ABC}=$ Perimeter of $\triangle \mathrm{DEF}$.
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Question : If it is given that for two right-angled triangles $\triangle$ABC and $\triangle$DFE, $\angle$A = 25°, $\angle$E = 25°, $\angle$B = $\angle$F = 90°, and AC = ED, then which one of the following is TRUE?
Question : D, E, and F are the midpoints of the sides BC, CA, and AB, respectively of a $\triangle ABC$. Then the ratio of the areas of $\triangle DEF$ and $\triangle ABC$ is:
Question : If $\triangle ABC$ and $\triangle DEF$ are congruent triangles, which of the following is FALSE?
Question : $\triangle ABC \sim \triangle DEF$ such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of $\triangle DEF = 25$ cm, then the perimeter of $\triangle ABC$ is:
Question : Which of the following is correct?
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