Question

recognizing similarity transformations
triangle xyz was reflected across m and then dilated to form a similar triangle. which triangle represents the image?

Explanation:

Step1: Understand reflection

When a figure is reflected across a line \(m\), the orientation of the figure changes with respect to the line of reflection. The reflected figure is a mirror - image of the original.

Step2: Analyze dilation

Dilation is a transformation that changes the size of a figure but not its shape. So, the angles of the original triangle and the dilated triangle are equal.

Answer:

The second triangle (the one below the original triangle \(XYZ\) in the middle of the three - triangle set) represents the image.