When a point \((x, y)\) is reflected across the x-axis, its new coordinates become \((x, -y)\).
Let's apply this to each point of triangle ABC:
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For point \(A(-4, -1)\): \[ A' = (-4, -(-1)) = (-4, 1) \]
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For point \(B(-5, -2)\): \[ B' = (-5, -(-2)) = (-5, 2) \]
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For point \(C(-10, -1)\): \[ C' = (-10, -(-1)) = (-10, 1) \]
Thus, the coordinates of the reflected triangle are:
- \(A'(-4, 1)\)
- \(B'(-5, 2)\)
- \(C'(-10, 1)\)
So, the correct response is: A′(−4,1), B′(−5,2), and C′(−10,1).