How to Graph Transformation on the Coordinate Plane: Reflection?
Transformation: Reflection – Example 2:
Solution:
Find the original coordinates:
\(A=(-3, 4)\) \(B=(-4, 2)\) \(C=(-2, -1)\) \(D=(-1, 3)\)
The reflection of the point \((x, y)\) across the \(y\)-axis is the point \((-x, y)\), So:
\(A^\prime=(3, 4)\) \(B^\prime=(4, 2)\) \(C^\prime=(2, -1)\) \(D^\prime=(1, 3)\)
The image of Polygon \(ABCِِD\) is \(A^\prime B^\prime C^\prime D^\prime\).
Exercises for Transformation: Reflection
Graph the image of the figure using the transformation given.
1. Reflection across line: \(y=x\)
2. Reflection across line: \(y=1\)
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