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3 years ago

Wany words does that message have?

Geography

1 answer:

AleksAgata [21]3 years ago

8 0

Answer:

(4, 3)

Explanation:

Short answer: when the coordinates are on horizontal and vertical lines, as these are, each coordinate value is used twice. Already, x=0 is used twice, as is y=0, so the missing coordinate is x=4, y=3.

The fourth vertex is (4, 3).

_____

Longer answer: The midpoints of the diagonals are the same point, so for rectangle ABCD, we have ...

(A+C)/2 = (B+D)/2

Solving for D, we find ...

D = A +C -B

In clockwise order, the points given are ...

A = (4, 0), B = (0, 0), C = (0, 3)

so we have ...

D = (4, 0) +(0, 3) -(0, 0) = (4+0-0, 0+3-0)

D = (4, 3) . . . . the coordinates of the fourth vertex.

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