Question

Point A is on figure B and is reflected across the x-axis. If point A has coordinates of (3, 5), what is the distance between the original point A and the reflected point A?(1 point)Responses 6

Answer 1

To find the distance between the original point A (3, 5) and its reflection across the x-axis, we first need to determine the coordinates of the reflected point.

When a point (x, y) is reflected across the x-axis, its y-coordinate changes sign while the x-coordinate remains the same. Therefore, the reflected point A' will have the coordinates:

A' = (3, -5)

Next, we can find the distance between the original point A (3, 5) and the reflected point A' (3, -5) using the distance formula. However, since both points have the same x-coordinate, we can simply subtract the y-coordinates:

Distance = |y1 - y2| = |5 - (-5)| = |5 + 5| = |10| = 10

Thus, the distance between the original point A and the reflected point A' is 10 units.