The problem involves finding the coordinates of point B such that the line x = 2 serves as the perpendicular bisector of the line segment AB, where point A is given as (–4,1) in the coordinate plane.
The discussion is ongoing, with participants exploring different interpretations and approaches to the problem. Some guidance has been offered regarding visual representation and the characteristics of perpendicular lines, but no consensus has been reached.
Participants note a lack of initial attempts to solve the problem and express uncertainty about where to start. There is an emphasis on understanding the geometric relationships involved.
Then try! Have you drawn this on a coordinate system? Mark the point (-4,1) and the line x= 2. Notice that that is a v__________ line. Since x= 4 is to be the perpendicular to the line segment you want, draw a line from (-4, 1) perpendicular to x= 4. That will be a h__________ line. Since x= 4 bisects the line segment, you must go an equal distance on the other side of x= 2. Where do you wind up?charlie_luna said:Homework Statement
Point A (–4,1) is in the standard (x,y) coordinate plane. What must be the coordinates
of point B so that the line x = 2 is the perpendicular bisector of AB ?
Homework Equations
don't know where to start.
The Attempt at a Solution
haven't tried.