Use the graph to answer the question. What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer

Question

points on the graph are A at 2,5 B at 6,3

Answer 1

To find the coordinates of points A' and B' after reflecting points A and B across the y-axis, we need to understand how reflection over the y-axis works.

When a point (x, y) is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. The new coordinates for the point will be (-x, y).

Let's apply this to the given points:

Point A:

• Original coordinates of A: (2, 5)
• Reflecting A over the y-axis:
  • New x-coordinate: -2 (change the sign of the x-coordinate)
  • y-coordinate remains the same: 5
• Therefore, the reflected point A' is: A' = (-2, 5)

Point B:

• Original coordinates of B: (6, 3)
• Reflecting B over the y-axis:
  • New x-coordinate: -6 (change the sign of the x-coordinate)
  • y-coordinate remains the same: 3
• Therefore, the reflected point B' is: B' = (-6, 3)

In conclusion, after reflecting points A and B in the y-axis:

• The coordinates of A' are (-2, 5)
• The coordinates of B' are (-6, 3)