Question

figure u is the result of a transformation on figure t. which transformation would accomplish this?

Explanation:

Step1: Analyze Reflection

Check if reflecting Figure T over a line (like x - axis or y - axis) gives Figure U. Reflecting over x - axis: A point \((x,y)\) becomes \((x, - y)\). For Figure T, let's take a vertex, say (2, - 1). Reflecting over x - axis gives (2,1), which is a vertex of Figure U. Another vertex of T: (1, - 2), reflecting over x - axis gives (1,2), which matches U's vertex. The third vertex of T: (3, - 1), reflecting over x - axis gives (3,1), which is a vertex of U. So reflection over x - axis transforms T to U.

Step2: Check Other Transformations

Translation: The figures are not shifted, so translation is out. Rotation: The orientation doesn't match rotation (reflection flips, rotation turns), so rotation is not it. Dilation: Sizes are same, so dilation is out. So reflection over x - axis is the transformation.

Answer:

Reflection over the x - axis