Given a point (2,6) on the triangle, where would the Newpoint on the triangle be after a rotation of 90° counterclockwise?
To find the new point after a rotation of 90° counterclockwise, we can use a rotation matrix.
Let's denote the given point (2,6) as (x, y). In this case, x = 2 and y = 6.
The rotation matrix for a counterclockwise rotation of 90° is:
|cos(90°) -sin(90°)|
|sin(90°) cos(90°)|
Plugging in the values, we get:
|0 -1|
|1 0|
Multiplying this matrix by the column vector representing the given point, we have:
|0 -1| |2| |0 * 2 + (-1) * 6| |-6|
|1 0| * |6| = |1 * 2 + 0 * 6| = |2 |
Therefore, after a rotation of 90° counterclockwise, the new point will be (-6, 2).