A figure has vertices E(-3, 1), F(1, 1) and G(4, 5). After a transformation, the image of the figure has vertices at E'(-3, -1), F'(1, -1) and G'(4, -5). Identify the transformation.
a) Reflection across the y-axis
b) Reflection across the x-axis
c) Rotation
d) Translation
Is it a rotation?
No, the given transformation is not a rotation.
To determine the transformation, we can compare the coordinates of the original figure's vertices with the coordinates of the image's vertices.
Notice that the x-coordinates of the image vertices remain the same as the original vertices: -3, 1, and 4. However, the y-coordinates of the image vertices are the negative of the original vertices: -1, -1, and -5.
This indicates that the image of the figure is obtained by reflecting it across the x-axis.
Therefore, the correct answer is:
b) Reflection across the x-axis
all y values change sign
that is reflection over x axis
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