Triangle ABC

Question

A
B
C
is reflected across the x
x
-axis. If the coordinates of the original shape are A(−4,−1)
A
(
−
4
,
−
1
)
, B(−5,−2)
B
(
−
5
,
−
2
)
, and C(−10,−1)
C
(
−
10
,
−
1
)
, what are the coordinates of A′
A
′
, B′
B
′
, and C′
C
′
?(1 point)
Responses

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

Answer 1

To find the coordinates of the points A', B', and C' after reflecting triangle ABC across the x-axis, we apply the rule for reflection across the x-axis. Specifically, the y-coordinate of each point changes its sign, while the x-coordinate remains the same.

Given the original coordinates:

• A(−4, −1)
• B(−5, −2)
• C(−10, −1)

We can reflect each point:

1. A(−4, −1) → A'(−4, 1)
2. B(−5, −2) → B'(−5, 2)
3. C(−10, −1) → C'(−10, 1)

Thus, the coordinates of A', B', and C' after the reflection across the x-axis are:

• A'(−4, 1)
• B'(−5, 2)
• C'(−10, 1)

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