The point L(3,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, L'?

1. Break Down the Problem

To find the coordinates of point $L'(x', y')$ after rotating point $L(3, 5)$ 90° clockwise around the origin, we need to apply the rotation transformation.

2. Relevant Concepts

The formula for rotating a point $(x, y)$ by 90° clockwise around the origin is: $(x', y') = (y, -x)$

3. Analysis and Detail

Given the point $L(3, 5)$:

• Here $x = 3$ and $y = 5$.
• Applying the rotation formula: $x' = y = 5$ $y' = -x = -3$

4. Verify and Summarize

The new coordinates after the rotation are $L'(5, -3)$. We can verify this by ensuring that the transformation has been applied correctly. The original point $(3, 5)$ when rotated 90° clockwise indeed results in the new coordinates.

Final Answer

The coordinates of the resulting point $L'$ are $(5, -3)$.