The question in the image asks about the coordinates of a point before a 180° rotation using the origin $(0, 0)$.

Given:

• The point $(-5, 5)$ is the image of the original point after being rotated 180° around the origin $(0, 0)$.

Rotation of 180°:

A 180° rotation around the origin transforms a point $(x, y)$ to $(-x, -y)$.

Let $(x, y)$ be the original point before the rotation. After a 180° rotation, this point would become $(-x, -y)$.

From the problem: $(-x, -y) = (-5, 5)$ So: $x = 5, \quad y = -5$

Thus, the coordinates of the original point before the rotation are $(5, -5)$.

Would you like further details, or do you have any other questions?

Related Questions:

1. What happens to a point after a 90° counterclockwise rotation around the origin?
2. How does a 270° clockwise rotation around the origin transform a point $(x, y)$?
3. Can you explain how to apply a reflection over the y-axis to a point?
4. What is the effect of rotating a point 360° around the origin?
5. How would you find the original point if it were rotated 45° instead of 180°?

Tip:

When dealing with transformations like rotations, it helps to visualize the rotation on a coordinate plane or use formulas for standard rotation angles (90°, 180°, 270°).