Which of the following is the image of the point after a reflection across the line ?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question involves coordinate geometry, specifically a reflection across the diagonal line .
The main focus is on applying the correct rule for reflecting a point across a diagonal line, not just over the x- or y-axis.
Key Concept Explanation:
To reflect a point over the line :
1. Swap the coordinates
2. Negate both values
So the formula becomes:
Step-by-Step Solution:
Original point:
1. Swap the coordinates:
2. Negate both:
Therefore, the reflected image is
Common Mistakes:
- Swapping without negating the coordinates
- Reflecting over the wrong line, such as
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