Parallelogram abcd has the coordinates of a(-1,10) and c(5,4). find the coordinates of where diagonals ac and bd intersect

The coordinates of where diagonals ac and bd intersect at (2,7)

Step-by-step explanation:

we are given coordinates as a(-1,10) and c(5,4)

we know that diagonals of parallelogram always bisect each other

Let's assume O is the intersection point between diagonals

So, point O bisects line ac into two equal parts

So, point O is the mid-point of ac

so, we can find point O

we get

now, we can simplify it

and we get

So,

The coordinates of where diagonals ac and bd intersect at (2,7)

step-by-step explanation: