Geometry

Question Analysis:
This question involves applying the definition of a glide reflection, where a point is first reflected and then translated across a line.
The main focus is on determining the mirror line based on the translation and resulting coordinates.

Key Concept Explanation:
A glide reflection is a combination of:
A reflection over a line (the mirror line).
A translation parallel to that line.
Since the vector is (4, 0), the reflection line must be horizontal, and the reflection occurs after translation.

Step-by-Step Solution:
Reverse the translation: Q' - (4, 0) = (1, -3)
Find mirror line equidistant between original (1, 3) and (1, -3)
Midpoint at (1,0) → horizontal line y = 0

Option Analysis:
A) x = 0 → ✖ Vertical line, incorrect
B) y = 0 → ✔ Correct, it's the mirror line between y = 3 and y = –3
C) x = 3 → ✖ Vertical, unrelated to y-values
D) y = 3 → ✖ That would reflect t...