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 (x,y)(x, y) is reflected across the y-axis, it becomes (x,y)(-x, y).

Therefore, the rule describing the reflection of quadrilateral PRST across the y-axis to create quadrilateral PRSTP'R'S'T' is:

(x,y)(x,y)(x, y) \rightarrow (-x, y)

Would you like more details or have any questions about reflections or transformations?

Here are 5 related questions to explore further:

  1. How would the rule change if the quadrilateral were reflected across the x-axis?
  2. What would the rule be for reflecting the quadrilateral across the line y=xy = x?
  3. How can you determine the coordinates of the new vertices after reflection?
  4. What is the effect of reflecting a shape twice across two different axes?
  5. 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