Finding perpendicular bisector.

[charlie_luna]

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.

 

[rock.freak667]

Well let's start with the basics, if you know one line is the perpendicular bisector of another, what can you tell me about where the one line intersects the other line and about their gradients?

 

[HallsofIvy]

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.

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?

 

[symbolipoint]

This should be super-easy because the vertical line x=2 can only be perpendicular to a horizontal line. This problem can be solved by inspection and simple counting. Simple picture of a graph!