1. The problem asks to describe the single transformation mapping shape A to shape B for part (a).
2. From the description, triangle A at approximately $(-2,3)$ is rotated 180° around the origin to map onto triangle B at approximately $(2,-3)$.
3. The formula for a rotation of 180° about the origin is:
$$ (x,y) \to (-x,-y) $$
This means each point $(x,y)$ of the original shape is mapped to $(-x,-y)$ after rotation.
4. Applying this to point $(-2,3)$:
$$ (-2,3) \to (-(-2), -(3)) = (2,-3) $$
which matches the location of triangle B.
5. Therefore, the single transformation is a rotation of 180° about the origin.
6. This rotation flips the shape across the origin, turning every point to its opposite in both x and y coordinates.
Final answer: The transformation is a rotation of 180° about the origin.
Rotation 180 Cfc51A
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