Point A is on figure B and is reflected across the x-axis. If point has coordinates of (3,5), what is the distance between the original point A and the reflected point A?
A. 10
B. 6
C. 5
D. 3
When a point is reflected across the x-axis, the x-coordinate stays the same and the y-coordinate changes sign.
The original point A has coordinates (3, 5).
The reflected point A will have coordinates (3, -5).
Using the distance formula, we can find the distance between these two points:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((3 - 3)^2 + (-5 - 5)^2)
= sqrt(0^2 + (-10)^2)
= sqrt(0 + 100)
= sqrt(100)
= 10
Therefore, the distance between the original point A and the reflected point A is 10.
The answer is A. 10.