SOLUTION: Find the point D(x,y) such that the points A(-3,1), B(4,0), C(0,-3) and D are the corners of a square. Justify your answer. ****** Start of solution: ****** Distance formul

SOLUTION: Find the point D(x,y) such that the points A(-3,1), B(4,0), C(0,-3) and D are the corners of a square. Justify your answer. Start of solution: Distance formul

Question 773915: Find the point D(x,y) such that the points A(-3,1), B(4,0), C(0,-3) and D are the corners of a square. Justify your answer.
****** Start of solution: ******
Distance formula:

So side AC of the square:
= sqrt( (0 - (-3))^2 + (-3-1)^2 )
= sqrt( 9 + 16 )
= 5
I don't know how to continue. . .
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This can be done without using Distance Formula, since the four points are vertices of a square. (You CAN use the distance formula if you want.)

Segment AD // segment CB
Line AD has slope
Using point A(-3,1) and slope 3/4 in point-slope form equation,

Line AD______

Segment BD // segment CA
Line BD has slope, since is perpendicular to line AD, of .
Using point B(4,0) and slope -(4/3) in point-slope form equation,

Line BD_____

Point D(?,?) is the intersection of the two lines, and .

------remaining process would be solve the system.
------easiest way would be clear the fractions and use the equations in standard form..
RELATED QUESTIONS
Find a point D(x,y) such that the points A(-3,1), B(4,0), C(0,-3) and D are the corners... (answered by solver91311,greenestamps)

Find a point D(x, y) such that the points A(-3,0), B(4,-1), C(0,-4), and D are the... (answered by Edwin Parker)

If (3, 1) and (6, 4) are the coordinates of two corners of a square, which of the... (answered by ikleyn,greenestamps)

Let the universal set A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, and the following... (answered by jim_thompson5910)

I really need help can somebody polease help me? 1. Determine whether the following... (answered by stanbon)

1. Determine whether the following equations have a solution or not? Justify your answer. (answered by solver91311)

Please help me with this assignment! 1. Determine whether the following equations... (answered by solver91311)

Find the area of a room that has a width of (x+3) and a length of (2x-5). (2.0 points)... (answered by nyc_function)

Show that the points A(-2,9), B(4,6), C(1,0), & D(-5,3) are vertices of a... (answered by solver91311)