Describe fully the single transformation that maps triangle A onto triangle B.

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  reflection across the line y = x

Step-by-step explanation:

The orientation of the triangle has changed from CW to CCW (considering sides in order least-to-greatest). This means a reflection is involved.

In order for this to be a single transformation, we need to know the line or point of reflection.

Each point is reflected about the point that is the midpoint joining an image point and the corresponding preimage point. Here, the points of reflection of the vertices all lie on the line y = x. So we can say ...

  the transform is reflection across the line y = x