Points A(-2,4) , B(1,3), C(4,1) and D form a parallelogram.What are the coordinates of D?
Accepted Solution
A:
Answer:The coordinates of D is (1,0)Step-by-step explanation:Given the following points for a parallelogram:A (X1,Y1), B (X2,Y2), C (X3,Y3) and D (X4,Y4)We know that that: X2-X1=X3-X4 (1) and Y2-Y1=Y3-Y4 (2)Given that A(X1,Y1)=A(-2, 4)B(X2,Y2)=B(1, 3)C(X3,Y3)=C(4, -1)We need to find D (X4,Y4).Solving equation (1) for X4 we find that:X4 = X3 + X1 - X2 = 4 -2 -1 = 1Solving equation (2) for Y4 we find that:Y4=Y3+Y1-Y2 = -1 + 4 - 3 =0Then the coordinates of D is: (1, 0).