Question

parallelogram gbjf has vertices g(–4, 1); b(–2, 3); f(–2,0). determine the coordinates of point j. group of answer choices (2, 0) (0, 2) (–2, –4) (–4, –1)

Answer 1

j(0, 2)

Explanation:

You want to know the coordinates of point J in parallelogram GBJF, given G(-4, 1), B(-2, 3), F(-2, 0).

Midpoint

In a parallelogram, the diagonals bisect each other. This means their midpoints are the same.

(G +J)/2 = (B +F)/2 = M

G +J = B +F . . . . . . . . multiply by 2

J = B +F -G

J = (-2, 3) +(-2, 0) -(-4, 1)

J = (-2-2+4, 3+0-1) = (0, 2)

The coordinates of point J are (0, 2).

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