SOLUTION: if the points A(-2,1),B(1,0),C(x,3)and D(1,y) are the vertices of parallelogram,find the values of x and y.

Algebra ->  Parallelograms -> SOLUTION: if the points A(-2,1),B(1,0),C(x,3)and D(1,y) are the vertices of parallelogram,find the values of x and y.      Log On


   

Question 1118692: if the points A(-2,1),B(1,0),C(x,3)and D(1,y) are the vertices of parallelogram,find the values of x and y.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


I will assume the quadrilateral is ABCD, although you didn't say so. You might/will get different answers if the quadrilateral is ABDC, or ACBD, or....

(1) From A to B is 3 units right and 1 unit down.
(2) Therefore, from D to C must be 3 units right and 1 unit down.
(3) The y coordinate of C is 3; if D to C is 1 unit down, the y coordinate of D must be 4.
(4) The x coordinate of D is 1; if D to C is 3 units right, then the x coordinate of C must be 4

Answers: x = 4; y = 4