If the x-axis is the perpendicular bisector of a segment with an endpoint of (2,3) what are the coordinates of the other endpoint of this segment?

Because the x-axis is the perpendicular bisector of a segment with an endpoint of (2, 3), we will see that the other endpoint must be at (2, -3).

First, we know that the x-axis is perpendicular to our segment, so our segment must be a vertical segment. This means that there can't be a variation in the x-values between the endpoints.

So, if one endpoint is (2, 3), then the other must be (2, y).

To find the value of y we use the fact that the x-axis is also a bisector, so it divides the segment in two equal parts, then we must have y = -3

In this way, we can conclude that the other endpoint is (2, -3)

If you want to learn more about segments, you can read:

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(2, -3)

Step-by-step explanation:

The  x-axis is the perpendicular bisector of a segment with an endpoint of (2,3).

A perpendicular bisector is a line which is perpendicular to a segment, dividing the segment into two equal parts. The perpendicular bisector passes through the midpoint of the segment.

Since the x axis bisects a segment with an endpoint of (2,3) perpendicularly, hence a point on the x axis is the midpoint of the segment. The midpoint would have the same x coordinate as the endpoint.

Hence, the midpoint is (2, 0).

Let (x, y) be the other endpoint, then:

(2, 0) is the midpoint of the segment joining (2, 3) and (x, y). we find the value of x and y using:

(2 + x) / 2 = 2;  and (3 + y) / 2 = 0

2 + x = 4;  and 3 + y = 0

x = 4 - 2 ;    and y = 0 - 3

x = 2; and y = -3

Hence the other endpoint is at (2, -3)

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.