SOLUTION: How do you write that it is not possible to prove two triangles congruent?

Question 826326: How do you write that it is not possible to prove two triangles congruent?
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
When two triangles are congruent to each other, that means that they are equal to each other in their size and shape.
Saying that they are equal to each other in their shape means that they are similar triangles, i,e, they have the same internal angles.
Saying that they are equal to each other in their shape means that they are the same size and that each of the three sides of a triangle is numerically equal in size to one of the other triangle's sides.
(This also means that they have they same area.)
If you can show that two triangle are not similar (they do not have equal internal angle) or that any one side is not equal (numerically) to some other side of the 2nd triangle, (or, they don't have the same area) then they are not congruent.
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