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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)
Responses

A′(−4,1)
, B′(5,−2)
, and C′(−10,1)
upper A prime left parenthesis negative 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis negative 10 comma 1 right parenthesis

A′(4,−1)
, B′(5,−2)
, and C′(10,−1)
upper A prime left parenthesis 4 comma negative 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis 10 comma negative 1 right parenthesis

A′(4,1)
, B′(5,2)
, and C′(10,1)
upper A prime left parenthesis 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma 2 right parenthesis , and upper C prime left parenthesis 10 comma 1 right parenthesis

A′(−4,1)
, B′(−5,2)
, and C′(−10,1)

1 answer

To reflect a point across the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.

Given the points:

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

The reflections of these points across the x-axis are calculated as follows:

  1. A′(−4,−1) → A′(−4,1) (changing -1 to 1)
  2. B′(−5,−2) → B′(−5,2) (changing -2 to 2)
  3. C′(−10,−1) → C′(−10,1) (changing -1 to 1)

Thus, the coordinates after the reflection are:

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

The correct response is: A′(−4,1), B′(−5,2), and C′(−10,1).