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17 votes
PLEASE HELP!!!!!!

Rotate the given triangle 270°
counter-clockwise about the
origin.
2 21
-1 -1 3
-1
[1 1
?
[
-1
1
11

PLEASE HELP!!!!!! Rotate the given triangle 270° counter-clockwise about the origin-example-1

1 Answer

7 votes

9514 1404 393

Answer:


\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]

Explanation:

The 270° CCW rotation is described by the transformation ...

(x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.


\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]

User Hugh Guiney
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