When a point \((x, y)\) is reflected across the x-axis, the coordinates become \((x, -y)\).
Given the points:
- A\((-4, -1)\)
- B\((-5, -2)\)
- C\((-10, -1)\)
We apply the reflection:
-
For A\((-4, -1)\): \[ A' = (-4, -(-1)) = (-4, 1) \]
-
For B\((-5, -2)\): \[ B' = (-5, -(-2)) = (-5, 2) \]
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For C\((-10, -1)\): \[ C' = (-10, -(-1)) = (-10, 1) \]
Thus, the coordinates after the reflection are:
- A'\((-4, 1)\)
- B'\((-5, 2)\)
- C'\((-10, 1)\)
Therefore, the correct response is: A′(−4, 1), B′(−5, 2), and C′(−10, 1).