Co-Ordinate Geometry: Given that OABC is a square, find possible coordinates for C.r

Of course, a square has all sides of equal length and all sides perpendicular where they intersect. To do this problem, you need to know how to find the distance between two points and know that if two lines are perpendicular the product of their slopes is -1. You will also need to know how to find the equation of a line, in a give coordinate system given its slope and one point on the line.

1) Find m, the slope of line AB.

2) Find the equation of the line through (0, 0) with slope equal to -1/m.

3) Find the intersection of that line with line AB. This is point A

4) Determine the distance from (0, 0) to point A.

5) Find the equation of the line through (0, 0) with slope m.

6) Find the point on that line with distance from (0, 0) the same as the distance in (4).

7) Find the equation of the line through the point in (6) with slope -1/m.

8) Find the intersection of that line with line AB. This is point B.
 
HallsofIvy said:
Of course, a square has all sides of equal length and all sides perpendicular where they intersect. To do this problem, you need to know how to find the distance between two points and know that if two lines are perpendicular the product of their slopes is -1. You will also need to know how to find the equation of a line, in a give coordinate system given its slope and one point on the line.

1) Find m, the slope of line AB.

2) Find the equation of the line through (0, 0) with slope equal to -1/m.

3) Find the intersection of that line with line AB. This is point A

4) Determine the distance from (0, 0) to point A.

5) Find the equation of the line through (0, 0) with slope m.

6) Find the point on that line with distance from (0, 0) the same as the distance in (4).

7) Find the equation of the line through the point in (6) with slope -1/m.

8) Find the intersection of that line with line AB. This is point B.
Click to expand...

I'm a little confused with step 6, do i just substitute the values of point A into y=-3x?
 
It says O is the origin (0,0)
The points A and B lie on the line with equation y=20-3x
Given that OABC is a square, find a possible set of coordinates for point C,
Hope that helps!
 
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