Question

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

Explanation:

Step1: Analyze Reflection

Reflection across line \( m \) should map points such that \( m \) is the perpendicular bisector of segments joining original and reflected points. Check angle markings (congruent angles should match after reflection and dilation).

Step2: Analyze Dilation

Dilation preserves similarity (same shape, proportional size). The middle triangle: After reflection, \( X' \) and \( Z' \) are below \( m \), and angle markings (single and double arcs) match the original's orientation after reflection, with proportional size (dilation). The first has swapped \( X' \) and \( Z' \) (incorrect reflection), the third has flipped angle arcs (incorrect).

Answer:

The Middle Graph (the triangle in the center with \( X' \), \( Y' \), \( Z' \) below \( m \) and matching angle arcs)