A line containing the points -2, 3 and 2, 3 Is reflected across x axis. How long is the reflected line?
To reflect a line across the x-axis, we need to change the sign of the y-coordinates of the points.
The original line goes through the points (-2, 3) and (2, 3).
When we reflect across the x-axis, the new line goes through the points (-2, -3) and (2, -3).
To find the length of the reflected line, we can use the distance formula:
d = √((x2-x1)² + (y2-y1)²)
Using the first point (-2, -3) and the second point (2, -3):
d = √((2-(-2))² + (-3-(-3))²)
= √((2+2)² + (-3+3)²)
= √(4² + 0²)
= √(16)
= 4
Therefore, the length of the reflected line is 4 units.