Question

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.

Using the above statement, choose which two congruency criteria eventually becomes same.

• A. SAS and ASA
• B. AAS and SAS
• C. AAS and ASA
• D. No two congruency criteria are same.

Answer 1

The correct option is C

AAS and ASA

In ASA congruence, the side is included between the two angles, but in AAS congruence, the side is not included. As the two corresponding angles are known to be equal, the third angle will also be equal to its corresponding angle and thus, the side gets included, making it the same as ASA congruence.