Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

To find the coordinates of the vertices after a rotation of 90° counterclockwise around the origin, we can use the following transformation rule for rotating a point $(x, y)$:

$(x', y') = (-y, x)$

This means that to rotate a point $(x, y)$:

1. The new x-coordinate $x'$ will be $-y$.
2. The new y-coordinate $y'$ will be $x$.

Steps to Follow

1. Identify the Original Coordinates: Suppose we have the vertices with original coordinates. Let’s denote them as $(x_1, y_1), (x_2, y_2), (x_3, y_3), ...$.

2. Apply the Rotation: For each vertex, apply the transformation:

   • For the first vertex: $(x_1, y_1) \rightarrow (-y_1, x_1)$
   • For the second vertex: $(x_2, y_2) \rightarrow (-y_2, x_2)$
   • Continue this for all vertices.

3. List the New Coordinates: After performing the transformation for each vertex, list the new coordinates.

Final Answer

If we had specific vertices, say $(1, 2)$, $(3, 4)$, and $(5, 6)$, the transformed coordinates would be:

• Vertex $(1, 2)$ becomes $(-2, 1)$
• Vertex $(3, 4)$ becomes $(-4, 3)$
• Vertex $(5, 6)$ becomes $(-6, 5)$

Therefore, the new coordinates after a rotation of 90° counterclockwise around the origin would be:

• $(-2, 1)$, $(-4, 3)$, $(-6, 5)$.

If you provide specific vertices, I can compute the exact rotation for those coordinates.