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AA Similarity AM

What do the two triangles have in common?

Name and perform the transformation that maps C onto F.

Name and perform the transformation the maps B'C' onto EF. (Hint: The measure of Angle B'C'E is 80 degrees)

Name and perform the transformation A"C" onto DF.

Lastly, name the transformation that maps B''' onto E. (Hint: Use scale factor of 2)

Why does this transformation also map A''' onto D?