Question

write a rule to describe the transformation below. rotation reflection translation dilation

Explanation:

• Rotation: Rotation is a transformation that turns a figure around a fixed point (the center of rotation). In this case, we can observe that the red figure (image) is obtained by rotating the black figure (pre - image) around a certain point.
• Elimination of other options:
• Reflection: A reflection is a mirror - like transformation. If it were a reflection, we would be able to identify a line of symmetry. But there is no obvious line of symmetry that would map the black figure to the red figure in the given coordinate - plane.
• Translation: A translation is a slide of a figure. In a translation, every point of the figure moves the same distance in the same direction. But the orientation of the red figure is different from the black figure, so it is not a translation.
• Dilation: A dilation is a resizing transformation. If it were a dilation, the corresponding sides of the two figures (black and red) would be in proportion. But from the grid, we can see that the side - lengths do not follow a simple proportion (e.g., if we count the number of units between vertices, there is no consistent scale factor).

Answer:

Rotation