Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.

Question

annipuppi · Answer

attachment

annipuppi · Answer

@ganeshie8

ganeshie8 · Answer

@annipuppi  wat do you think,
are the triangles congruent or not ?

annipuppi · Answer

No because the congruent angle isn't between the congruent sides?

ganeshie8 · Answer

we're using SSS here,
why do we care about angles here ?

ganeshie8 · Answer

wat does SSS congruence tell us ?

annipuppi · Answer

All sides have to be congruent?

ganeshie8 · Answer

Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.

annipuppi · Answer

Okay... I don't see the error in the reasoning though

ganeshie8 · Answer

the error in your reasoning and your classmate's reasoning is that, 
congruent triangles can be rotated or mirrored. Since all 3 sides are congruent between both the triangles, the triangles are still congruent. Have a look at second triangle, its just a rotated+mirrored version of first triangle. So both triangles are still congruent.

annipuppi · Answer

Oh I see now. Thanks

ganeshie8 · Answer

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ganeshie8 · Answer

lets label the vertices so that it it becomes obvious that the triangles are cogruent