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rewona [7]
2 years ago
8

Name 4 points that would form a square with the origin at is center.

Mathematics
1 answer:
zheka24 [161]2 years ago
4 0

9514 1404 393

Answer:

  (2, 3), (-3, 2), (-2, -3), (3, -2)

Step-by-step explanation:

You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...

  (x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW

That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.

__

One possible square is ...

     (2, 3), (-3, 2), (-2, -3), (3, -2)

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By pythagoreans' theorem,

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You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
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