Question: WHICH ONE IS CORRECT: A, B, C, OR D? HURRY UP Question 2 (1 point) (02.01 HC) Triangle JOY is translated using the rule $ (x, y) \to (x + 3, y - 2) $ to create triangle $ J' O' Y' $. If a line segment is drawn from point $ J $ to point $ J' $ and from point $ O $ to point $ O' $, which statement would best describe the line segments drawn? a They share the same midpoints. b They create diameters of concentric circles. c They are parallel and congruent. d They are perpendicular to each other.

1. **State the problem:** Triangle $JOY$ is translated by the rule $$ (x, y) \to (x + 3, y - 2) $$ to form triangle $J'O'Y'$. We draw line segments from $J$ to $J'$ and from $O$ to $O'$. We need to determine which statement best describes these line segments. 2. **Understand the translation:** The translation rule moves every point 3 units to the right and 2 units down. 3. **Analyze the line segments:** - The segment from $J$ to $J'$ connects a point to its image after translation. - Similarly, the segment from $O$ to $O'$ does the same. 4. **Properties of translation vectors:** - The vector for both segments is the same: $$ \vec{v} = (3, -2) $$ - This means both segments have the same length and direction. 5. **Conclusion:** - Since both segments have the same vector, they are parallel and congruent. **Answer:** c **Explanation:** The line segments from $J$ to $J'$ and from $O$ to $O'$ are parallel and congruent because they represent the same translation vector applied to different points.