A trapezoid has vertices , , , and . First, it is translated 2 units to the right and 5 units up. Then, the resulting trapezoid is reflected across the -axis. What are the coordinates of the image of vertex ?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question focuses on applying a translation followed by a reflection across the -axis to a vertex of a trapezoid.
The key is to correctly implement each transformation step for the given point.
Key Concept Explanation:
1. Translation rule: For a translation units to the right and units up, a point becomes .
2. Reflection across the -axis rule: When reflecting a point across the -axis, the new coordinates are .
Step - by - Step Solution:
1. Translation of point :
- Given a translation 2 units to the right () and 5 units up ().
- Using the rule , substitute and .
- The new coordinates after translation are
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