Question

what type of transformation maps △qrs to △qrs? dilation reflection rotation translation

Explanation:

Step1: Analyze dilation

Dilation changes the size of a figure. Here, the size of $\triangle QRS$ and $\triangle Q'R'S'$ is the same, so it's not dilation.

Step2: Analyze reflection

Reflection flips a figure over a line. There is no indication of a line - of - reflection here.

Step3: Analyze rotation

Rotation turns a figure around a point. The orientation of $\triangle QRS$ and $\triangle Q'R'S'$ is different, which is characteristic of rotation.

Step4: Analyze translation

Translation moves a figure without changing its orientation. Since the orientation has changed, it's not translation.

Answer:

rotation