What will be the reflection of point (2, 3) in the second quadrant?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (-2, 3)
The second quadrant is where \(x\) is negative and \(y\) is positive. The point (2, 3) lies in the first quadrant; reflecting it in the y-axis changes only the sign of \(x\) and takes it to (−2, 3), in the second quadrant.
Why the other options are incorrect
Option (2) (2, -3) — Incorrect. The reflection in the x-axis, which lies in the fourth quadrant.
Option (3) (-2, -3) — Incorrect. The reflection in the origin, which lies in the third quadrant.
Option (4) (3, 2) — Incorrect. The reflection in the line y = x, which stays in the first quadrant.