Question

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

Explanation:

Step1: Analyze the position of figures

Observe the orientation and position of Figure \(S\) and Figure \(T\) relative to the origin.

Step2: Determine the transformation type

Since the figures are symmetric about the origin, the transformation is a rotation. A rotation of \(180^{\circ}\) about the origin changes the sign of both the \(x\) and \(y\) - coordinates of each point of the figure. For a point \((x,y)\) in Figure \(S\), after a \(180^{\circ}\) rotation about the origin, it becomes \((-x, -y)\) in Figure \(T\).

Answer:

A \(180^{\circ}\) rotation about the origin.