5. The line segment AB has endpoints at A(5, -3) and B(-2, 0). What will A’ (__, __ ) be after it is reflected across the y- axis?

Question

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(-5, 3)
(5, -3)
(5, 3)
(-5, -3)

Answer 1

To reflect a point across the y-axis, you take the original point \((x, y)\) and change the sign of the x-coordinate, resulting in a new point \((-x, y)\).

Given point A(5, -3):
- The x-coordinate is 5.
- The y-coordinate is -3.

When reflected across the y-axis:
- The x-coordinate changes from 5 to -5.
- The y-coordinate stays the same at -3.

Thus, the coordinates of the reflected point A' will be \((-5, -3)\).

So, the correct answer is:
\((-5, -3)\).