triangle xyz was reflected across m and then dilated to form a similar triangle. which triangle represents…

Explanation:

Step1: Recall reflection property

When a triangle is reflected across a line (m), the corresponding angles and side - lengths are congruent before dilation. The orientation of the triangle changes with respect to the line of reflection.

Step2: Recall dilation property

Dilation creates a similar triangle. The angles of the original and dilated triangles are equal, and the side - lengths are in proportion.

Step3: Analyze the options

In a reflection across line (m), the points on the original triangle and its reflection are equidistant from the line (m). After reflection, when dilation occurs, the shape remains the same (similar). The correct image is the one where the triangle is first flipped across (m) and then enlarged or reduced proportionally. The middle option shows a triangle that is first reflected across (m) (the orientation is changed with respect to (m)) and then dilated (since it is similar to the original triangle (\triangle XYZ)).

Answer:

The middle triangle.