Question

If the points (-2,-1) (1,0) (x, 3) (3, y)
form a parallelogram. Find x & y,​

Answer 1

Answer:

hope this helps you.....

Answer 2

The value of x is 6 and the value of y is 2.

Explanation:

Let ABCD be the parallelogram with coordinates A (-2,-1) , B (1,0) , C (x, 3) and D(3, y).

We know that the diagonals of a parallelogram bisects each other.

Therefore , Mid-point of AC = Mid-point of BD

$\Rightarrow\ (\dfrac{-2+x}{2}, \dfrac{-1+3}{2})=(\dfrac{1+3}{2},\dfrac{0+y}{2})\\\\\Rightarrow\ \dfrac{-2+x}{2}=\dfrac{1+3}{2}\ \ \ , \ \ \dfrac{-1+3}{2}=\dfrac{0+y}{2}\\\\ \Rightarrow\ -2+x=4,\ \ ,\ \ \ 2=y\\\\\Rightarrow\ x=6,\ \y=2$

Hence, the value of x is 6 and the value of y is 2.

# Learn more :

The sum of x-coordinates of the vertices of the triangle is 18 and that of y-coordinates is 24 then the coordinates of its centroid are..............

(a) (6,8)

(b) (8,6)

(c) (9,12)

(d) (12,9)​

https://brainly.in/question/14432577