The length of a line is calculated by finding the distance between its two endpoints. In this case, the two endpoints of the original line are (-2, 3) and (2, 3).
When the line is reflected across the x-axis, the y-coordinates of the points are multiplied by -1, and the x-coordinates remain unchanged.
The reflected line would have endpoints (-2, -3) and (2, -3).
Using the distance formula, the length of the reflected line can be calculated:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
Length = √[(2 - (-2))^2 + (-3 - 3)^2]
= √[(2 + 2)^2 + (-6)^2]
= √[4^2 + 36]
= √[16 + 36]
= √[52]
= 2√13
Therefore, the length of the reflected line is 2√13.
A line containing the points -2, 3 and 2, 3 is reflected across the x-axis how long is the reflected line
1 answer