Question

Which of the following is not a criterion for congruence of triangles?

• A. SAS
• B. ASA
• C. SSA
• D. SSS

Answer 1

The correct option is C

SSA

Explanation for the correct option.

Criteria of congruence triangle:

Triangle congruence: Two triangles are said to have been congruent if their three corresponding sides were equal and their three corresponding angles are equal in measure. The triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide if they are relocated. $\text{'}\cong \text{'}$is the sign of congruence.

• The $\mathrm{SSS}$ rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
• The $\mathrm{SAS}$ rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
• The $\mathrm{ASA}$ rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.
• The $\mathrm{AAS}$ rule states that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Thus, there is no $\mathrm{SSA}$ criterion for congruency of triangles.

Hence, the correct choice is “Option C”.