a line containing the points (-2, 3) and (2, 3) is reflected across the x-axis. How long is the reflected line?
a 4 units
b not enough information
c infinitely long
d 3 units
To find the length of the reflected line, we need to find the distance between the two reflected points.
When a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign.
The given points are (-2, 3) and (2, 3). After reflecting across the x-axis, the y-coordinate of the first point becomes -3, and the y-coordinate of the second point also becomes -3.
Therefore, the reflected line is a horizontal line with y = -3.
Since it is a horizontal line, its length is equal to the difference between the x-coordinates of the two points.
The x-coordinate of the first point is -2, and the x-coordinate of the second point is 2.
Therefore, the length of the reflected line is 2 - (-2) = 2 + 2 = 4 units.
The answer is: a) 4 units