Reflections Across the x- or y- Axis Quick Check

Question

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Question
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′
?

Answer 1

When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate is inverted (multiplied by -1).

Applying this to the coordinates of triangle ABC:

• For point A(-4, -1):

  • A' = (-4, 1)

• For point B(-5, -2):

  • B' = (-5, 2)

• For point C(-10, -1):

  • C' = (-10, 1)

Thus, the coordinates after reflection are:

• A'(-4, 1)
• B'(-5, 2)
• C'(-10, 1)