The reflection of the point (3, 4) across the Y-axis results in what coordinate pair?

The reflection of the point (3, 4) across the Y-axis results in what coordinate pair?

• A. (3, 4)
• B. (-3, 4)
• C. (3, -4)
• D. (-3, -4)

Answer: (B)

When a point is reflected across the Y-axis, its x-coordinate changes sign while the y-coordinate remains the same. For the point (3, 4), the process involves taking the x-coordinate, which is 3, and flipping its sign to -3. Meanwhile, the y-coordinate remains unchanged at 4. Therefore, the reflection of the point (3, 4) across the Y-axis results in the coordinate pair (-3, 4). This transformation demonstrates the symmetry of geometric figures and their coordinates relative to the axes. The other options do not accurately reflect this transformation, reinforcing that only (-3, 4) reflects the original point correctly across the Y-axis.

When a point is reflected across the Y-axis, its x-coordinate changes sign while the y-coordinate remains the same. For the point (3, 4), the process involves taking the x-coordinate, which is 3, and flipping its sign to -3. Meanwhile, the y-coordinate remains unchanged at 4.

Therefore, the reflection of the point (3, 4) across the Y-axis results in the coordinate pair (-3, 4). This transformation demonstrates the symmetry of geometric figures and their coordinates relative to the axes. The other options do not accurately reflect this transformation, reinforcing that only (-3, 4) reflects the original point correctly across the Y-axis.