Garrett reflects points A and B across the y-axis to make the images of the points A' and B'. If the distance between points A and B is 10 units, what is the distance between points A' and B'? Explain your answer.

A'B' = AB = 10

Step-by-step explanation:

Reflection of points across y-axis doesn't change the distance between the points so AB = A'B' = 10 units

Let the coordinates be:

A = (x1, y1) and B(x2, y2)

Reflection:

A'= (-x1, y1) and B(-x2, y2) as per rule

Lets compare distances:

AB = √(x2-x1)² + (y2 - y1)²

and

A'B' = √(-x2 - (-x1))² + (y2 - y1)² = √(-(x2 - x1))² + (y2-y1)² = √(x2-x1)² + (y2 - y1)²

As we see the results are same

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