Question

(1,1),(1,3) and +2,1) are the coordinates of the rectangle find the missing coordinate​

Answer 1

Answer:

Start by identifying the coordinates you have in relation to the above figure, where you have A, B, and C, and D then is the coordinate that you need to find.

Next, let X = the x-coordinate of B minus the x-coordinate of A. Let Y = the y-coordinate of B minus the y-coordinate of A.

Finally, the x-coordinate of D is equal to the x-coordinate of C plus X, and the y-coordinate of D is equal to the y-coordinate of C plus Y.

In other words, D is as far above and to the right of C as B is to A.

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Alternately, if you wanted to use some trig, you could find the distance between B and C and the angle ABC. The angle ABC is the same as the angle BAD, and BC=AD. This would give you essentially the vector AD, which could be used with the coordinate of A to find the coordinate of D.

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