Respuesta :
Answer:
The answer is D (1,0)
Step-by-step explanation:
From point B to point A it is left 3 up 1. So from Point C go left 3 up 1 considering it's a parallelogram and there you have it. (1,0)
Answer:
The coordinates of point D is (1, 0)
Step-by-step explanation:
Given that points A(-2,4), B(1, 3), C(4, -1) and D form a parallelogram.
we have to find the coordinates of point D.
Let coordinates of point D are (x, y)
By mid-point formula, if (a, b) and (c, d) are the coordinates of two points joining the line segment then the coordinates of mid-point are
[tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]
As diagonals of parallelogram bisect each other therefore the mid-point of both diagonals are same.
Mid-point of AC=Mid-point of BD
[tex](\frac{-2+4}{2}, \frac{4-1}{2})=\frac{1+x}{2}, \frac{3+y}{2})[/tex]
[tex](1, \frac{3}{2})=\frac{1+x}{2}, \frac{3+y}{2})[/tex]
Comparing both sides, we get
[tex]1+x=2[/tex] ⇒ [tex]x=1[/tex]
[tex]3+y=3[/tex] ⇒ [tex]y=0[/tex]
The coordinates of point D is (1, 0)
Option D is correct
