Answer:
2x
Explanation:
Point B is reflected over the y-axis to create B’. Use an ordered pair to name the location of B’, and determine the distance between point B and B'.
Step 1: Negate the x-coordinate: Multiply the x-coordinate of point B by -1. -> B' = (-x, y)
Step 2: Now, you have the coordinates of point B' as (-x, y). You can name the location of B' using this ordered pair.
> B' = (-x, y)
Step 3: To determine the distance between point B and B', you can use the distance formula. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point B are (x, y), and the coordinates of point B' are (-x, y).
Distance = sqrt(((-x) - x)^2 + (y - y)^2)
=> sqrt((-2x)^2 + 0)
=> sqrt(4x^2)
=> 2x
Therefore, the distance between point B and B' is 2x, where x represents the x-coordinate of point B.