Question

find the error saurabh and elena visit a craft fair and notice a quilt with a pattern. saurabh claims the pattern is made using translations. elena believes that the pattern is made using rotations. who is correct? justify your argument. select choice ; the triangles shown in the pattern appear to be made using select choice, but the outlined hexagonal patterns select choice created using rotations.

Explanation:

Translation means sliding a figure without rotating or flipping it. Rotation means turning a figure around a fixed point. Looking at the quilt pattern, the overall hexagonal - like groupings (formed by triangles) seem to be in different orientations. If it were just translations, all the groupings would be in the same orientation. But since there are changes in orientation, rotations are involved.

Answer:

Elena is correct. The pattern is made using rotations. The triangles within the pattern may seem to have some translational aspects (as individual triangles can be thought of in a grid - like arrangement), but the key is the outlined hexagonal patterns. These hexagonal patterns (formed by the combination of triangles) have different orientations, which is characteristic of rotation (a transformation that changes the orientation of a figure around a point). A translation would keep the orientation of the figure the same. So, the main transformation for the pattern (considering the hexagonal groupings) is rotation.