Question

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

Explanation:

Step1: Analyze reflection across line m

A reflection across line $m$ flips the triangle over the line, so the orientation of the marked angles will mirror the original triangle's angles relative to line $m$. The original triangle XYZ has marked angles at X (left) and Z (right) on the upper side of line $m$; its reflection should have the mirrored angle positions on the lower side of $m$.

Step2: Analyze dilation effect

Dilation creates a similar triangle, meaning the shape (angle measures and proportional side lengths) is preserved, only the size changes. The reflected triangle must then be scaled (dilated) while keeping the angle correspondence.

Step3: Match to correct option

The second option has the reflected triangle X'Y'Z' with angles mirrored correctly across line $m$, and it is a scaled (dilated) version that maintains similarity to XYZ, matching the transformation sequence.

Answer:

The middle triangle (second option: triangle X'Y'Z' with mirrored angles across line m, preserved similar shape via dilation)