Use the graph to answer the question.
What are the coordinates of
A
'
and
B
'
when AB is reflected in the y-axis? Show your work or explain how you got your answer.
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.
To reflect a point over the y-axis, we simply negate its x-coordinate. So to find the coordinates of A', we change the sign of its x-coordinate, giving us (-2,5). Similarly, to find the coordinates of B', we change the sign of its x-coordinate, giving us (-6,3).
Therefore, the coordinates of A' are (-2,5) and the coordinates of B' are (-6,3).
To reflect a point in the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate the same.
Given that point A is at (2, 5) and point B is at (6, 3), the reflected coordinates, A' and B', can be determined as follows:
For point A':
- To reflect in the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate unchanged.
- The x-coordinate of point A' will be -2, and the y-coordinate will be the same, which is 5.
- So, the coordinates of A' are (-2, 5).
For point B':
- Similarly, to reflect in the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate unchanged.
- The x-coordinate of point B' will be -6, and the y-coordinate will be the same, which is 3.
- So, the coordinates of B' are (-6, 3).
Therefore, the coordinates of A' and B' when AB is reflected in the y-axis are (-2, 5) and (-6, 3) respectively.
To reflect a point or line segment in the y-axis, you need to change the sign of the x-coordinate and leave the y-coordinate unchanged.
Given that point A is located at (2, 5) and point B is located at (6, 3), we can find the coordinates of A' and B' after reflecting in the y-axis.
For point A:
1. Change the sign of the x-coordinate (positive to negative): -2
2. Keep the y-coordinate unchanged: 5
So, point A' is located at (-2, 5).
For point B:
1. Change the sign of the x-coordinate (positive to negative): -6
2. Keep the y-coordinate unchanged: 3
Thus, point B' is located at (-6, 3).