A point is reflected across the vertical line . What are the coordinates of the reflected point?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question involves reflecting a point over a vertical line, specifically the line .
The main focus is on understanding how to calculate the new coordinates of a point after a geometric reflection across a vertical line.
Key Concept Explanation:
- A reflection is a transformation that flips a point across a line, creating a mirror image.
- When reflecting across a vertical line , only the x-coordinate changes.
- The new x-coordinate is found by ensuring the point and its reflection are equidistant from the line .
Step-by-Step Solution:
1. Original point:
2. Line of reflection:
3. Distance from point to line: units
4. Reflection is on the opposite side:
Subtract the same distance from the line:
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