Question

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

(a) ASA
(b) SSA
(c) SAS
(d) SSS

Answer 1

The correct answer is (b) SSA. -- -- Read carefuly for total understanding

Explanation:

In geometry, congruence is a relationship between two figures that means they have the same size and shape. In other words, congruent figures can be perfectly superimposed on one another. There are several criteria that can be used to determine whether two triangles are congruent.

• The ASA (angle-side-angle) criterion states that if two triangles have two angles and the included side congruent, then the triangles are congruent.
• The SAS (side-angle-side) criterion states that if two triangles have two sides and the included angle congruent, then the triangles are congruent.
• The SSS (side-side-side) criterion states that if two triangles have all three sides congruent, then the triangles are congruent.

However, the SSA (side-side-angle) criterion does not guarantee that two triangles are congruent. In other words, just because two triangles have two sides and the included angle congruent does not necessarily mean that the triangles are congruent. This is why the answer is (b) SSA.