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 $\triangle \mathrm{DEF}$
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 $\triangle \mathrm{DEF}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
