How do I describe a transformation of a triangle that maps ABC onto A'B'C'. So if you can just explain the steps to me that would be great. Thanks

3 answers

With no figures to consult, it's very hard to say ...
A is -3,4. B is -3,0. C is -1,3. Those are the ABC figures. For A'B'C' A' is -2,-3. B' is 2,-3. C'is -1,-1.
clearly AB has been rotated 1/4 turn to the left.

Since the triangle is still the same size (AB has the same length as A'B'), we just need to find the translation.

(-3,4) --> (-2,-3) so it has been moved by (1,-7)

Now just convert those two changes to your standard notation. Note that I have used point A as the center of the rotation. Using another point would have altered the translation.