What will be the reflection of point (2, 3) in the second quadrant?
What will be the reflection of point (2, 3) in the second quadrant?
Solution
✅ Correct Option: 1
The point (2, 3) is in the first quadrant where both coordinates are positive.
To reflect a point to the second quadrant, reflect across the y-axis.
When reflecting across the y-axis:
- The x-coordinate changes sign
- The y-coordinate remains the same
Original point: (2, 3)
After reflection across the y-axis:
- x-coordinate:
- y-coordinate:
Reflected point: (-2, 3)
The point (-2, 3) has a negative x-coordinate and positive y-coordinate, placing it in the second quadrant.
Therefore, the reflection of point (2, 3) in the second quadrant is (-2, 3).
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