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.Reflecting
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
HL congruence theorem
Symmetric Property of Congruence
Yes. Congruence implies similarity. Though similarity is not enough for congruence.
in maths
The only Two Triangle congruence shortcuts that do not prove congruence are: 1.AAA( Three pairs of angles in a triangle) & 2.ASS or SSA(If the angle is not in between the two sides like ASA.
The ASS postulate would be that:if an angle and two sides of one triangle are congruent to the corresponding angle and two sides of a second triangle, then the two triangles are congruent.The SSA postulate would be similar.Neither is true.
Reflecting
No, the side-side-angle in congruence shortcut DOESN'T exist..hint-SSA turns backward--->ASS<---thats the problem of no word will come on math..kinda funny to laugh about but SSA=GET rid off it! use SSS, SAS, ASA, SAA, SSS, and AAA.
Congruence is a Noun.
There is no AA congruence property. Two triangles with the same angles are similar, but need not be congruent. In other words, they are the same 'shape' but different sizes. For example, an equilateral triangle can be big or small, but all equilateral triangles have 60 degree angles. Although it is often said that there is no ASS congruence theorem in geometry, this isn't quite true. For prescribed values of angle, side, side, there are at most two different "congruence classes" of triangles realizing these values. In other words, there are really only at most two different types of triangles with those given values: any other triangle with the same values is congruent to one of those two. When you study trigonometry, you will learn something called the "Law of Sines." It will give you at most two possible values for the angle opposite the middle S in aSs (they are supplementary to each other.) Then the ASA congruence theorem can be applied.
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.
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
reflexive property of congruence
HL congruence theorem
there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS