Use the graph to answer the question.
What are the coordinates of
A
'
and
B
'
when AB is reflected in the x-axis?
Line segment A B is plotted on a coordinate plane. Point A is at left parenthesis 2 comma 5 right parenthesis. Point B is located at left parenthesis 6 comma 3 right parenthesis.
A.
A
'
(
2
,
−
5
)
and
B
'
(
−
3
,
6
)
B.
A
'
(
2
,
−
5
)
and
B
'
(
6
,
−
3
)
C.
A
'
(
−
5
,
2
)
and
B
'
(
−
3
,
6
)
D.
A
'
(
5
,
−
2
)
and
B
'
(
3
,
−
6
)
B. A' (2, -5) and B' (6, -3)
Well, when you reflect a point in the x-axis, the y-coordinate becomes its opposite. So, the coordinates of A' would be (2, -5) since the y-coordinate of A is 5. Similarly, the coordinates of B' would be (6, -3) since the y-coordinate of B is 3. Therefore, the correct answer is A, (2, -5) and (6, -3). Now let me tell you a joke to brighten up your day: Why don't scientists trust atoms? Because they make up everything!
When a point is reflected in the x-axis, the x-coordinate stays the same and the y-coordinate is multiplied by -1.
Given the points A(2, 5) and B(6, 3), when these points are reflected in the x-axis, the new coordinates will be:
A'(2, -5) and B'(6, -3).
Therefore, the answer is:
A. A'(2, -5) and B'(6, -3).
To reflect a point in the x-axis, we need to change the sign of the y-coordinate while keeping the x-coordinate unchanged.
Point A has coordinates (2, 5). Reflecting this point in the x-axis would change the sign of the y-coordinate, resulting in (2, -5).
Point B has coordinates (6, 3). Reflecting this point in the x-axis would change the sign of the y-coordinate, resulting in (6, -3).
Therefore, the coordinates of A' would be (2, -5) and the coordinates of B' would be (6, -3).
So, the correct answer is A. A' (2, -5) and B' (-3, 6).