Two triangles with the same base have the same area; are they necessarily congruent?

Question : Three sides of two triangles are 4, 5, and 6 cm. Select the INCORRECT statement.

Option 1: The angle opposite to the greater side in those triangles will be greater.

Option 2: The area of the two triangles will be different.

Option 3: The two triangles are congruent.

Option 4: The two triangles are scalene triangles.

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 : 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.