On parallelogram abcd below, if a(1,1) b(8,5) c(5,-5) and d (-2,-9), what are the coordinates of point e?

The coordinates of point E are (3,-2)

Step-by-step explanation:

we know that

The diagonals of a parallelogram bisect each other

That means ----> The coordinates of point E is the midpoint diagonal AC or the midpoint diagonal BD

The formula to calculate the midpoint between two points is equal to

Verify both cases

Find the midpoint AC

we have the points

A(1,1) and C(5,-5)

substitute in the formula

Find the midpoint BD

we have the points

B(8,5) and D (-2,-9)

substitute in the formula

therefore

The coordinates of point E are (3,-2)

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743