The image contains a diagram of two triangles, labeled triangle A and triangle B, on a coordinate plane. Additionally, there is a question regarding transformations and a rotation of triangle A to map it onto triangle C.

Let's address each part:

(a) Describe fully the single transformation that maps triangle A onto triangle B:

From the diagram, we observe the following transformation:

• Triangle A appears to be reflected and translated to form triangle B. Specifically, triangle A is reflected across the y-axis and then translated downward.

To describe the transformation step by step:

1. Reflection: Reflect triangle A across the y-axis (mirror image along the y-axis).
2. Translation: After the reflection, triangle A is translated downward to the new position where triangle B lies.

(b) Triangle A is mapped onto triangle C by a rotation, 90° anti-clockwise about the origin. On the diagram, draw triangle C:

• To perform a 90° anti-clockwise rotation about the origin, each vertex of triangle A will move according to the following rule:
  • If the original coordinates of a point are $(x, y)$, after a 90° anti-clockwise rotation about the origin, the new coordinates will be $(-y, x)$.

Now, if you'd like me to show the diagram of triangle C based on this transformation, I can help generate it. Would you like me to proceed with that?