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Reflection in the y-axis

Cartesian plane shown with two triangles ABC and A' B' C'.
Detailed description

The point \(A\) in the diagram above has been reflected in the y-axis. To reflect \(A\), a line has been drawn at right angles to the axis of reflection (the \(y\)-axis in this case) and a ruler or compass used to mark \(A^\prime\) the same distance from the axis of reflection, but on the other side. Similarly for \(B\) and \(C\).

Using coordinates we can describe the reflection of the vertices:

\(A(1,1) \rightarrow A^\prime (−1,1); B(4,2) \rightarrow B^\prime (−4,2); C(2,4) \rightarrow C^\prime (−2,4)\)