Question

Write the coordinates of the vertices after a rotation 90° clockwise around the origin. L is 4,0, M is 6,0, K is 4,-7, n is 6,-7

Answer 1

To find the new coordinates of the vertices after a 90° clockwise rotation around the origin, you can use the rotation transformation. The formula for rotating a point \((x, y)\) by 90° clockwise is given by:

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

Now, let's apply this transformation to each vertex:

1. **L(4, 0)**:
\[
L' = (0, -4)
\]

2. **M(6, 0)**:
\[
M' = (0, -6)
\]

3. **K(4, -7)**:
\[
K' = (-7, -4)
\]

4. **N(6, -7)**:
\[
N' = (-7, -6)
\]

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

- \(L' = (0, -4)\)
- \(M' = (0, -6)\)
- \(K' = (-7, -4)\)
- \(N' = (-7, -6)\)