Question

First work with stencil one. Use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. List the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement.

Answer 1

Does stencil one overlap exactly with the original image in Question 1? Describe what you see. After the transformations are complete, what can you say about the points that make up stencil one and the points that make up the original image? Explain.

Answer 2

Now, consider stencil two. Again, use a combination of reflections, rotations, and translations to see whether stencil two will overlap with the original pattern. List the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement.

Answer 3

Does stencil two overlap exactly with the original image? Describe what you see. After the transformations are complete, what can you say about the points that make up stencil one and the points that make up the original image? Explain.

Answer 4

Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.