Question

Can someone help me please i’m stuck

Answer 1

Point of intersection of diagonal is: (-4,2)

x-coordinate = -4

y-coordinate = 2

Explanation:

The diagonals of parallelogram bisect each other, So we need to find the midpoint of the diagonal to find the point of intersection. The midpoint of both diagonals will be same.

Consider the diagonal BD

We have B (-6,-5) and D (-2,9)

We need to find midpoint of the diagonal BD.

The formula used is:
`Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))`

We have
`x_1=-6, y_1=-5, x_2=-2, y_2=9`

Putting values and finding midpoint

`Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))\\Midpoint=((-6+(-2))/(2),(-5+9)/(2))\\Midpoint=((-6-2)/(2),(-5+9)/(2))\\Midpoint=((-8)/(2),(4)/(2))\\Midpoint=(-4,2)`

So, We get Midpoint(-4,2)

We will get the same midpoint if we find for other diagonal AC.

So, Point of intersection of diagonal is: (-4,2)

x-coordinate = -4

y-coordinate = 2