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Triangle ABC is reflected across the x-axis. If the coordinates of the original shape are A (-4, — 1),

B (-5, -2), and C (-10, - 1), what are the coordinates of A', B', and C"? (1 point)
O A' (-4, 1), B' (5, -2), and C" (-10, 1)
O A' (4, 1), B' (5, 2), and C' (10, 1)
O A' (-4,1), B' (-5,2), and C" (-10, 1)
O A' (1, -1), B' (5, -2), and C" (10, - 1)

1 answer

When a point \((x, y)\) is reflected across the x-axis, the new coordinates become \((x, -y)\).

Given the coordinates of the points:

  • A (-4, -1)
  • B (-5, -2)
  • C (-10, -1)

We can find the reflected points as follows:

  • For A: A' = (-4, -(-1)) = (-4, 1)
  • For B: B' = (-5, -(-2)) = (-5, 2)
  • For C: C' = (-10, -(-1)) = (-10, 1)

Thus, the coordinates of the reflected points are:

  • A' = (-4, 1)
  • B' = (-5, 2)
  • C' = (-10, 1)

The correct answer is: O A' (-4, 1), B' (-5, 2), and C' (-10, 1).