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′
? 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)
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)

Answer 1

When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Given the points:
- A(−4, −1) will be reflected to A′(−4, 1).
- B(−5, −2) will be reflected to B′(−5, 2).
- C(−10, −1) will be reflected to C′(−10, 1).

So, the coordinates after reflection across the x-axis will be:
- A′(−4, 1)
- B′(−5, 2)
- C′(−10, 1)

Thus, the correct answer is:
**A′(−4, 1), B′(−5, 2), and C′(−10, 1)**.