Question

/ Three vertices of parallelogram ACBE are shown. Find the coordinates of vertex

e. (Hint: Pay attention to the order in which the parallelogram is named.)
a. (–2, 4)
b. (8, 9)
c. (-2, 5)
d. (3, 0)

Answer 1

Answer: The coordinates of vertex E are A ) ( -2, 4 ).

Answer 2

We have to find the coordinates of vertex E of parallelogram ACBE. First we have to find the midpoint of a diagonal AB : xM = ( xA + xB ) / 2 = ( 1 + 3 ) / 2 = 4 /2 = 2; yM = ( yA + yB ) / 2 = ( 2 + 6 ) / 2 = 8 / 2 = 4. So the coordinates of the midpoint are M ( 2, 4 ). And it is also a midpoint of another diagomal ( CE ). ( xE + 6 ) / 2 = 2; xE + 6 = 4; xE = 4 - 6 = - 2. ( yE + 4 ) / 2 = 4; yE + 4 = 8; yE = 8 - 4 = 4. Answer: The coordinates of vertex E are A ) ( -2, 4 ).