Math Problem Statement
She reflected the quadrilateral across the y-axis to create quadrilateral PꞋRꞋSꞋTꞋ.
Which rule describes this transformation?
Solution
The rule for reflecting a point across the y-axis is to change the sign of the x-coordinate while keeping the y-coordinate the same. If a point is reflected across the y-axis, it becomes .
Therefore, the rule describing the reflection of quadrilateral PRST across the y-axis to create quadrilateral is:
Would you like more details or have any questions about reflections or transformations?
Here are 5 related questions to explore further:
- How would the rule change if the quadrilateral were reflected across the x-axis?
- What would the rule be for reflecting the quadrilateral across the line ?
- How can you determine the coordinates of the new vertices after reflection?
- What is the effect of reflecting a shape twice across two different axes?
- How does reflection differ from rotation and translation in transformations?
Tip: Always check the orientation of the shape after transformation to ensure it hasn't been distorted.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Plane
Transformations
Reflections
Formulas
Reflection rule across the y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 7-9