SOLUTION: Points X (-1,1),Y (3,5), and Z (17,1), are the coordinates of three vertices of a parallelogram. What are the possible coordinates of W, the fourth vertex?

Question 122273: Points X (-1,1),Y (3,5), and Z (17,1), are the coordinates of three vertices of a parallelogram. What are the possible coordinates of W, the fourth vertex?
Found 2 solutions by psbhowmick, MathLover1:
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let the coordinates of W be (h,k).
The opposite sides of a parallelogram are parallel and hence their slopes must be equal.
Slope of WX = Slope of YZ
i.e.
i.e.
i.e.
i.e. __________ (1)

Slope of ZW = Slope of XY
i.e.
i.e.
i.e.
i.e. _________ (2)
Solving (1) and (2)
h = 13
k = -3

Hence, the coordinates of W are (13, -3).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
one more solution is here
since YW || XZ ...=> W have y coordinates same as Y; W(x,5)
since distance between points X an Z is units, so and distance between points Y an W is ...so
then we have that the coordinates of W are(,)

RELATED QUESTIONS
Points R(1, 3), S(�2, �1), and T(5, �1) are vertices of a parallelogram. Give the... (answered by KMST)
Three of the vertices of a parallelogram are (2, 1) (4, 7), and (6, 5). What are the... (answered by KMST)
The coordinates of three vertices of a parallelogram are (−3, 3), (2, 3), and (4,... (answered by MathLover1)
Points x(-1,1), y(3,5), and z(17,1) are coordinates of three vertices of a... (answered by RAY100)
The points A(0,0), B(2,4)and D(7,O) are three of the four vertices of a parallelogram.... (answered by solver91311)
Parallelogram WXYZ with vertices W(-2,2), X(2,3), Y(2,0), Z(-2,-1) is translated by... (answered by richard1234)
The points (5,2), (2,6), and (-8,-3) are three vertices of a parallelogram. Locate and... (answered by venugopalramana,bwpbruce)
three vertices of a parallelogram have coordinates (0,1) (3,7) and (4,4).What are the... (answered by Fombitz)
three vertices of a quadrilateral are (-1,-1) (1,2) and (5,-1) what are the coordinates... (answered by Edwin McCravy)