Rectangle has vertices , , and . First, it is reflected over the line , and then over the line . What are the coordinates of the image of vertex after these two reflections?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question pertains to the successive reflections of a rectangle's vertex in the coordinate plane.
The key focus is on applying the rules of reflection over the () and the () correctly to find the new coordinates of a given point.
Key Concept Explanation:
When a point is reflected over the line (the ), the transformation rule is .
When a point is reflected over the line (the ), the transformation rule is .
Step - by - Step Solution:
1. For the first reflection of point over the line :
- Using the rule , when and , the image has coordinates .
2. For the second reflection of point
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