A lime containing the points -2,3 and 2,3 is reflected across the X axis. How long is the reflected line?
When a point is reflected across the X-axis, the y-coordinate stays the same but the sign changes.
So, the reflected point of (2,3) would be (2,-3).
To find the length of the reflected line, we can use the distance formula.
The distance between (-2,3) and (2,-3) can be calculated as follows:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((2 - (-2))^2 + (-3 - 3)^2)
= sqrt((2 + 2)^2 + (-6)^2)
= sqrt(4^2 + 36)
= sqrt(16 + 36)
= sqrt(52)
= 2sqrt(13)
Therefore, the length of the reflected line is 2sqrt(13).