A parallelogram has vertices E(−3, 1), F(0, 2), G(−5, 5), and H(−2, 6). What are the coordinates of the midpoint of each diagona

Question

IceJOKER [234]

4 years ago

6

A parallelogram has vertices E(−3, 1), F(0, 2), G(−5, 5), and H(−2, 6). What are the coordinates of the midpoint of each diagona

l?

Mathematics

1 answer:

sleet_krkn [62] · Answer 1 · 2021-12-15T12:26:50+03:00

To find the midpoints you would add the x values and divide by 2, then add the y values and divide by 2.
After drawing the parallelogram I found that the diagonals are EH and FG.
EH: (-3 + -2)/2, (1 + 6)/2 = (-5/2, 7/2)
FG: (-5 + 0)/2, (2 + 5)/2 = (-5/2, 7/2)
The midpoint of both diagonals is (-5/2, 7/2) OR (-2.5, 3.5)