The task on the worksheet involves identifying pairs of shapes that show a rigid transformation. A rigid transformation is a movement of a figure that preserves its shape and size. This means no stretching, shrinking, or distortion happens, so the transformed figure will have the same measurements as the original.

Here’s an analysis of the pairs:

• Pair A: The shapes appear to be reflections of each other. Since reflections are rigid transformations (they preserve size and shape), Pair A shows a rigid transformation.
• Pair B: These two shapes are not congruent. One is significantly larger than the other, which indicates a change in size. This is not a rigid transformation.
• Pair C: These two shapes are congruent and seem to be related by a rotation. Rotation is a rigid transformation, so Pair C shows a rigid transformation.
• Pair D: One shape is smaller than the other. Since the sizes are different, this is not a rigid transformation.

Answer:

• Select Pair A and Pair C as the pairs that show a rigid transformation.

Would you like more details on this explanation? Here are some related questions to expand your understanding:

1. What are the three types of rigid transformations?
2. Can a rigid transformation include translation, and if so, how?
3. How do we determine if a transformation is rigid based on coordinates?
4. Why is resizing (dilation) not considered a rigid transformation?
5. How does reflection affect the orientation of the figure in a rigid transformation?

Tip: When determining if a transformation is rigid, always check that the shape remains congruent—no angles or side lengths should change.