The answer is Yes and No both!
In the condition ASS, expand it as Angle-Side1-Side2. Now, Two triangles are said to be congruent if and only if there is only a single triangle which can be constructed through those given conditions.For e.g. in SSS congruency only a single triangle can be constructed through given three sides in the congruency condition.
Here, if a triangle is constructed with a base side(Side1) and base angle (Angle), then the condition is based on the length of the third element (Side2). If side 2 is longer than side1, then two triangles are possible, but not if side2 is longer than Side1.
So, it depends on on second Side of the congruency condition.Chat with our AI personalities
Reflecting
HL congruence theorem
Congruence is basically the same as equality, just in a different form. Reflexive Property of Congruence: AB =~ AB Symmetric Property of Congruence: angle P =~ angle Q, then angle Q =~ angle P Transitive Property of Congruence: If A =~ B and B =~ C, then A =~ C
Symmetric Property of Congruence
Since ASA is a congruence postulate and congruence implies similarity, then the answer is : yes.