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Reflected points are the same distance from but on opposite sides of the line of reflection before and after the reflection takes place.
W'(4, - 2), X'(1,- 2), Y'(1, - 4), Z'(4,- 4)
We want to find coordinates of this figure after a reflection over the y-axis. To do so, we need to plot each vertex of the image W'X'Y'Z' the same distance from the line of reflection as its corresponding vertex on the preimage WXYZ. Because our line of reflection is the y-axis, this will change the sign of the x-coordinates of the points, but the y-coordinates will remain unchanged.
Preimage WXYZ | Image W'X'Y'Z' | ||
---|---|---|---|
Vertex | Distance From the x-axis | Vertex | Distance From the x-axis |
W(- 4,- 2) | 4 units to the left from the y-axis | W'(4,- 2) | 4 units to the right from the y-axis |
X(- 1,- 2) | 1 unit to the left from the y-axis | X'(1,- 2) | 1 unit to the right from the y-axis |
Y(- 1,- 4) | 1 unit to the left from the y-axis | Y'(1,- 4) | 1 unit to the right from the y-axis |
Z(- 4,- 4) | 4 units to the left from the y-axis | Z'(4,- 4) | 4 units to the right from the y-axis |