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)

b

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".