Which of the following points is the reflection of the point (3, –2) across the line y = x?
Options
A
(–3, 2)
B
(2, –3)
C
(–2, 3)
D
(3, 2)
Answer & Analysis
Answer
C
Analysis
Question Analysis:
This question involves reflecting a point across the line y = x.
The main focus is on understanding how the coordinates of a point change when it is reflected over this diagonal line.
Key Concept Explanation:
When a point is reflected across the line y = x, its coordinates are swapped.
So, the image of the point becomes (y, x).
This reflection does not change the signs unless the original point has negative values.
Step-by-Step Solution:
1. Start with the original point: .
2. To reflect over y = x, swap the coordinates:
→ becomes
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