Questions: SSA (side-side-angle) does not guarantee congruence between two triangles.
Transcript text: SSA (side-side-angle) does not guarantee congruence between two triangles.
Solution
Solution Steps
Step 1: Understanding SSA (Side-Side-Angle)
SSA (Side-Side-Angle) is a condition where two sides and a non-included angle of one triangle are equal to the corresponding parts of another triangle. However, this condition does not always guarantee that the two triangles are congruent.
Step 2: Exploring the Ambiguity of SSA
The SSA condition can lead to two different triangles in certain cases, which means it does not uniquely determine a triangle. This is why SSA is not a valid congruence criterion.
Step 3: Conclusion
Since SSA does not guarantee congruence between two triangles, the statement is true.