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?

Option 1: $\triangle \mathrm{ABC} \cong \triangle \mathrm{FED}$

Option 2: $\triangle \mathrm{ABC} \cong \triangle \mathrm{DFE}$

Option 3: $\triangle \mathrm{ABC} \cong \triangle \mathrm{EFD}$

Option 4: $\triangle \mathrm{ABC} \cong \triangle \mathrm{DEF}$

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:

Option 1: $\frac{1}{2}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{1}{8}$

Option 4: $\frac{1}{16}$

Question : Which of the following is correct?

Option 1: $\frac{2}{3}< \frac{3}{5}< \frac{11}{15}$

Option 2: $\frac{3}{5}< \frac{2}{3}< \frac{11}{15}$

Option 3: $\frac{11}{15}< \frac{3}{5}< \frac{2}{3}$

Option 4: $\frac{3}{5}< \frac{11}{15}< \frac{2}{3}$

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.

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:

Option 1: 40 cm

Option 2: 30 cm

Option 3: 35 cm

Option 4: 45 cm