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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’.

User TheRizza
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1 Answer

2 votes

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.

User AntoineL
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