Geometry

Question Analysis:
This is a coordinate-based translation problem.
The main focus is on calculating the translation vector by comparing pre-image and image points.

Key Concept Explanation:
A translation rule is found by subtracting the coordinates:
(x′ − x, y′ − y) = how much the point moved → translation vector.

Step-by-Step Solution:
1. J → J′:
From (2, 3) → (7, 1)
2. Subtract:
x: 7 − 2 = +5
y: 1 − 3 = −2
3. Rule: (x, y) → (x + 5, y − 2)

Option Analysis:
A. Correct – Matches the calculated vector.
B. Incorrect...