By applying which of the following criteria can two triangles NOT be proved congruent?

Correct option is B

Solution:

There are four ways in which a triangle can be proved or said congruent.

• SSS (Side-Side-Side) Rule: It is when we are given that all the three sides of one triangle are equal to three sides of another triangle correspondingly.
• SAS (Side-Angle-Side) Rule: It states that two sides and the angle included between those sides of one triangle are equal to two sides and the angle included between them of the other triangle.
• ASA (Angle-Side-Angle) Rule: If the two angles and one side between them of one triangle is equal to the corresponding angles and side, the triangle is said to be congruent.
• AAS (Angle-Angle-Side) Rule: It states that if two consecutive angles and one adjacent side of a triangle is equal to two consecutive angles and one adjacent side of another triangle.

Information Booster:

If corresponding angles (only) are equal, both triangles are said to be similar, that is the ratio of corresponding sides is equal.