Given the points $(3,5)$ and $(-3,-5)$, which points are reflections of each other across both axes?

• A. $(3,5)$ and $(5,3)$
• B. $(3,5)$ and $(-3,-5)$
• C. $(3,5)$ and $(-3,5)$
• D. $(3,5)$ and $(3,-5)$

Answer: (B)

Verified step by step guidance

1. Understand that reflecting a point across the x-axis changes the sign of the y-coordinate, while reflecting across the y-axis changes the sign of the x-coordinate.
2. Given a point \((x, y)\), reflection across the x-axis results in \((x, -y)\), and reflection across the y-axis results in \((-x, y)\).
3. To reflect a point across both axes, apply both reflections: first across one axis, then the other, resulting in \((-x, -y)\).
4. Apply this to the point \((3, 5)\): reflecting across both axes gives \((-3, -5)\).
5. Compare the given points to identify which pair matches this transformation; the points \((3, 5)\) and \((-3, -5)\) are reflections of each other across both axes.