The coordinates of the image of vertex D after a reflection across the x-axis is (5.3).
The correct option is (A).
what is reflection over x- axis?
A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
For example,
when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4). Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.
The given coordinates of D is (5, -3).
Now, to get the reflection over x- axis we have negate the value of y- coordinate and no changes in x- coordinate.
Hence, the coordinate of vertex D is (5, 3).
Learn more about reflection here:
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