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′
?(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 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 negative 5 comma 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)

Answer 1

To reflect a point across the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same.

Given the points:
- A(-4, -1)
- B(-5, -2)
- C(-10, -1)

The reflections across the x-axis are:
- A'(-4, 1) (the y-coordinate changes from -1 to 1)
- B'(-5, 2) (the y-coordinate changes from -2 to 2)
- C'(-10, 1) (the y-coordinate changes from -1 to 1)

So the correct coordinates after reflection are:

A'(-4, 1), B'(-5, 2), and C'(-10, 1).

Therefore, the correct response is:

**A′(−4,1), B′(−5,2), and C′(−10,1)**.