Question

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin. H is 1,-8, G is 10,-2, F is 10,-9

Answer 1

To rotate a point \( (x, y) \) counterclockwise by 90 degrees around the origin, the new coordinates can be calculated using the following transformation:

\[
(x', y') = (-y, x)
\]

Now, we will apply this transformation to each vertex:

1. **For vertex H (1, -8)**:
\[
H' = (-(-8), 1) = (8, 1)
\]

2. **For vertex G (10, -2)**:
\[
G' = (-(-2), 10) = (2, 10)
\]

3. **For vertex F (10, -9)**:
\[
F' = (-(-9), 10) = (9, 10)
\]

So the coordinates of the vertices after a 90° counterclockwise rotation around the origin are:

- \( H' = (8, 1) \)
- \( G' = (2, 10) \)
- \( F' = (9, 10) \)