Question

Write the coordinates of the vertices after a rotation 270° clockwise around the origin. M is -2,-9, L is -2,0, J is -8,-9, K is -8,0

Answer 1

To rotate points in the coordinate plane 270° clockwise around the origin, you can use the following transformation formula for each point \((x, y)\):

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

Now let's apply this rotation to each of the given points:

1. Point \( M(-2, -9) \):
\[
M' = (-9, -(-2)) = (-9, 2)
\]

2. Point \( L(-2, 0) \):
\[
L' = (0, -(-2)) = (0, 2)
\]

3. Point \( J(-8, -9) \):
\[
J' = (-9, -(-8)) = (-9, 8)
\]

4. Point \( K(-8, 0) \):
\[
K' = (0, -(-8)) = (0, 8)
\]

Thus, the coordinates of the vertices after a rotation of 270° clockwise around the origin are:

- \( M'(-9, 2) \)
- \( L'(0, 2) \)
- \( J'(-9, 8) \)
- \( K'(0, 8) \)