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 $\triangle \mathrm{DEF}$

Question : If $\triangle A B C \sim \triangle D E F$, and $B C=4 \mathrm{~cm}, E F=5 \mathrm{~cm}$ and the area of triangle $A B C=80 \mathrm{~cm}^2$, then the area of the $\triangle DEF$ is:

Option 1: 169 cm²

Option 2: 80 cm²

Option 3: 144 cm²

Option 4: 125 cm²

Question : $\triangle \mathrm{ABC} \sim \triangle \mathrm{DEF}$ and the perimeters of these triangles are 32 cm and 12 cm, respectively. If $\mathrm{DE}=6 \mathrm{~cm}$, then what will be the length of AB?

Option 1: 16 cm

Option 2: 14 cm

Option 3: 12 cm

Option 4: 18 cm

Question : If areas of similar triangles $\triangle {ABC}$ and $\triangle {DEF}$ are $ {x}^2 \ \text{cm}^2$ and $ {y}^2 \ \text{cm}^2$, respectively, and EF = a cm, then BC (in cm) is:

Option 1: $\frac{y^2}{a^2 x^2}$

Option 2: $\frac{y}{a x}$

Option 3: $\frac{ax}{y}$

Option 4: $\frac{a^2 x^2}{y^2}$

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:

Option 1: 12.6 cm

Option 2: 24 cm

Option 3: 20 cm

Option 4: 10 cm