Find a sequence of translations, rotations, and reflections which maps Δ A B C to Δ D E F.
b. After working on problem (a), Melissa says
Since m∠ A=m∠ D and m∠ B=m∠ E then I also know that m∠ C)=m∠ F).
So these triangles share all three angles and this is enough to know that they are congruent.
I don't need to be told that |A B|=|D E|.
i. Is Melissa correct that m∠ C=m∠F ? Explain.
Is she right that two triangles sharing three pairs of congruent angles always congruent? Explain.