Answer:
(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)
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:
https://brainly.com/question/14366932
