What will be the reflection of point (2, 3) in the second quadrant?

The correct answer is Option (1) → (-2, 3)

To reflect the point (2, 3) into the second quadrant, we need to understand how coordinates behave across the four quadrants of a Cartesian plane.

1. Understanding the Quadrants

• Point (2, 3): This is in the First Quadrant ($+x, +y$).
• Second Quadrant: Points in this quadrant have a negative x-coordinate and a positive y-coordinate ($-x, +y$).

2. Performing the Reflection

To reflect a point from the first quadrant into the second quadrant, we reflect it across the y-axis.

• When you reflect across the y-axis, the vertical position ($y$) stays the same, but the horizontal position ($x$) becomes its opposite.
• The $x$ value 2 becomes -2.
• The $y$ value 3 remains 3.

Conclusion

The reflected point in the second quadrant is (-2, 3).