Question

A line containing the points (−2, 3) and (2, 3) is reflected across the x -axis. How long is the reflected line?(1 point)

Answer 1

The line segment is on the same horizontal line, which means the y-coordinate remains the same. When reflected across the x-axis, the y-coordinate becomes its negative, so the reflected line has points (-2, -3) and (2, -3).

To find the length of the reflected line, we can use the distance formula.
The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given points, we get:

d = √((2 - (-2))^2 + (-3 - 3)^2)
d = √((4)^2 + (-6)^2)
d = √(16 + 36)
d = √(52)
d ≈ 7.211

Therefore, the length of the reflected line is approximately 7.211.