Segment AB has endpoints A(-3, 4) and B(-5, 2). Segment AB is reflected over the y axis to form segment A’B’. What are the coordinates for the endpoints of A’B’?
A. A’(3, -4) and B’(5, -2)
B. A’(3, 4) and B’(5, 2)
C. A’(-3, -4) and B’(-5, -2)
D. A’(-3, 4) and B’(5, -2)
A(-3,4) ---> A'(3,4)
B(-5,2) ---> B'(5,2)
A(-3,4) ---> A'(3,4)
B(-5,2) ---> B'(5,2)
im a seventh grade math teachers daughter i should know
And Reiny is a retired high school and college math teacher.
To reflect a point or a line segment over the y-axis, you need to change the sign of the x-coordinate while keeping the y-coordinate the same.
For segment AB, the coordinates of point A are (-3, 4) and the coordinates of point B are (-5, 2).
To reflect point A over the y-axis, we change the sign of the x-coordinate, giving us the new coordinates of A', which are (3, 4).
Similarly, to reflect point B over the y-axis, we change the sign of the x-coordinate, giving us the new coordinates of B', which are (5, 2).
So, the correct answer is A. A’(3, -4) and B’(5, -2).