Ssa Congruence Math

But if you click on show other triangle you will see that there is another triangle that is not congruent but that still satisfies the ssa condition.

Ssa congruence math. The triangle congruence criteria sss sas asa all require three pieces of information. 2 if a is obtuse then the two triangles are congruent. Also insufficient is aaa which determines a triangle up to similarity. 1 if a i.

We extend ac to the right hand side see figure 3 b then rotate bc about point b see figure 3 c. Left begin array c ac cong a prime c prime ab cong a prime b prime measuredangle c cong measuredangle c prime end array right notice that there are congruences between two pairs of sides so the angle that must be congruent is the opposite angle to the longest side that is congruent. Congruence postulate ssa in figure 5 we can see that the following congruences are met. Direct link to joe nip s post this video defines 3 conditions of ssa.

It is interesting however that not all three pieces of information about sides and angles are sufficient to determine a triangle up to congruence. In the figure above the two triangles above are initially congruent. This video defines 3 conditions of ssa. 3 if a is a right angle then the two triangles are congruent.

In this problem we considered ssa. 1 if a is acute the result is ambiguous. Figure 3 a shows triangle abc with sides and angle marked. But there are two triangles possible that have the same values so ssa is not sufficient to prove congruence.