Line segment DM with end points D (−4, 5) and M(6, 0), is reflected about the x-axis to give line
segment D′ M ′.What are the coordinates of Point D′ ?

Given:

Line segment DM with end points D(-4,5) and M(6,0) is reflected about the x - axis to give line segment D'M'.

We need to determine the coordinates of the point D'.

Coordinates of the point D':

The general to reflect the coordinates over the x - axis is given by

To determine the coordinates of the point D', let us substitute the coordinates of the point D in the above rule.

Thus, we get;

The reflection of the coordinate D(-4,5) about the x - axis to give the point D' is (-4,-5)

Thus, the coordinates of the point D' is (-4,-5)

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