Question

A triangle with points 1, -1 3, -2 and 1 negative 3 rotated 90 degrees counter clockwise

Answer 1

To rotate a triangle 90 degrees counterclockwise around the origin, you can apply the following transformation to each vertex (x, y):

\[
(x, y) \rightarrow (-y, x)
\]

Given the vertices of the triangle:

1. The first point is (1, -1).
2. The second point is (3, -2).
3. The third point is (1, -3).

Let's apply the rotation transformation to each point:

1. For the point (1, -1):
\[
(1, -1) \rightarrow (-(-1), 1) = (1, 1)
\]

2. For the point (3, -2):
\[
(3, -2) \rightarrow (-(-2), 3) = (2, 3)
\]

3. For the point (1, -3):
\[
(1, -3) \rightarrow (-(-3), 1) = (3, 1)
\]

So, after rotating the triangle with vertices at (1, -1), (3, -2), and (1, -3) by 90 degrees counterclockwise, the new vertices are:

- (1, 1)
- (2, 3)
- (3, 1)

These are the coordinates of the triangle after the rotation.