Question

figure j is the result of a transformation on figure i. which transformation would accomplish this?

Explanation:

Step1: Analyze Rotation

A rotation transformation can change the orientation of a figure. Let's check the coordinates (estimating from the grid). Figure I has a vertical orientation, Figure J has a horizontal orientation, suggesting a 90 - degree (or similar) rotation. Also, the position change (from upper left to lower left with orientation shift) is consistent with rotation (and maybe translation, but rotation is key for orientation).

Step2: Eliminate Other Transformations

• Translation: Only moves the figure, doesn't change orientation. Figure I and J have different orientations, so not just translation.
• Reflection: Would create a mirror image, but the orientation change here is more like rotation.
• Dilation: Changes size, but both figures seem same size. So rotation (possibly combined with translation, but rotation is the main transform for orientation change here) is the answer.

Answer:

Rotation (specifically, a 90 - degree rotation, possibly combined with translation, but the key transformation for the orientation change is rotation)