RenB wrote:
In an XY coordinate plane, the line x = 5 is a perpendicular bisector of the line segment AB. If the coordinates of point A are (-1, 2), then what are the coordinates of point B?
A. (-1, 8)
B. (9, 2)
C. (5, 2)
D. (11, 2)
E. (11,8)
The line x = 5 is a vertical line passing through the point (5, 0) on the x-axis. Since it is given that this line is the perpendicular bisector of the line segment AB, point B must be symmetrically located on the other side of x = 5, equidistant from point A.
The distance between points A and B is the horizontal distance from A to the line x = 5, which is twice the distance from A to x = 5. Therefore, the x-coordinate of point B is 5 + 2 * (distance from A to x = 5).
The distance from A to x = 5 is 5 - (-1) = 6.
So, the x-coordinate of point B is 5 + 2 * 6 = 17.
Now, the y-coordinate of point B remains the same as that of point A, which is 2.
Therefore, the coordinates of point B are (17, 2).
The correct answer is not among the given options. Please
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Statistics : Posted by sindhuagarwal • on 12 Nov 2023, 20:41 • Replies 1 • Views 117
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