Question

Rotate the given triangle 90°

counter-clockwise about the
origin [ 0 -3 5]
[0 1 2 ]

Answer 1

Explanation:

Answer 2

9514 1404 393

Answer:

`\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]`

Explanation:

The rotation matrix for 90° CCW is ...

`\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]`

Then the rotated coordinates are ...

`\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]`

_____

The transformation of each ordered pair is ...

(x, y) ⇒ (-y, x)