Question : What is the ASA congruence rule of triangles, where A and S represent the angle and side of the triangle respectively?

Option 1: Two triangles are said to be congruent if all three sides of both triangles are equal.

Option 2: Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle.

Option 3: Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.

Option 4: Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both triangles are equal.

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?

Option 1: SAS property

Option 2: ASA property

Option 3: RHS property

Option 4: SSS property

Question : Which of the following statements is FALSE?

Option 1: Two triangles are congruent if the size and shape of the triangles may or may not be equal.

Option 2: SAS and SSS are both conditions of congruency of triangles.

Option 3: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, the triangles are congruent.

Option 4: If two triangles are congruent, one of them can be superimposed on the other triangle.

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 : $\triangle ABC \sim \triangle DEF$ 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