Isosceles triangles are always similar to each other.

Question

anonymous · Answer

true or false?

e.mccormick · Answer

Do you know the meaning of "Isosceles triangles"?

anonymous · Answer

yes

e.mccormick · Answer

OK, then it talks about what two sides must be.  But does it say anything about the third side?

anonymous · Answer

the base angles are congruent

e.mccormick · Answer

|dw:1368120073987:dw|

anonymous · Answer

yes they are @SpawnOfSatan

e.mccormick · Answer

@_king_J So you are saying the two triangles I drew are similar?

anonymous · Answer

no
so it would be false

e.mccormick · Answer

@SpawnOfSatan I asked about the base, not the base angles.  Are the bases on the ones I drew the same?

anonymous · Answer

@e.mccormick true no

anonymous · Answer

|dw:1368120511377:dw| would be more correctly drawn

e.mccormick · Answer

Exactly.  The one where they are all similar is the 60-60-60 triangle.

e.mccormick · Answer

That does not correct the drawing with the condition given.  I was specifically stating that all four sides were the same.

anonymous · Answer

I can not answer if they are similar because you didnt indacate anything besides the pair of sides. so I believe that would be false

e.mccormick · Answer

And that was the point, that the third side can be anything.  So I can have two Isosceles triangles where the base is of any length, but the matched sides are the same.  That means the answer to your question is false.  They are not always similar.

And the web site really changed the order of the responses for some reason!

anonymous · Answer

thanks

e.mccormick · Answer

np.  Have fun!