Math Problem Statement
Solution
Let's solve the problems visible in the image:
Problem 1 (Top Left):
Trapezoid QRST with vertices is reflected over the line . What is the location of ?
To reflect a point across the vertical line , the formula is: For point :
- Apply the formula to the -coordinate:
- The -coordinate remains the same.
Thus, .
Problem 2 (Top Right):
Parallelogram STUV with vertices is reflected over the line . What is the location of ?
When reflecting a point
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Math Problem Analysis
Mathematical Concepts
Reflection
Coordinate Geometry
Transformations
Formulas
Reflection across vertical line x = a: x' = 2a - x
Reflection across line y = -x: (x', y') = (-y, -x)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 8-10
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