The vertices of a triangle are P(-4,1), Q(-2, -8), and R(8, -1). What are the vertices of the image reflected across the x-axis?
A. • P'(-4, -1), Q(-2, 8), and R'(8, 1)
B. P'(4, -1), Q'(2, 8), and R'(-8, 1)
C. P'(4, 1), Q(2, -8), and R'(-8, -1)
D. P(-4, 1), Q(-2, -8), and R'(8, -1)
The image reflected across the x-axis will have the same x-coordinates as the original triangle, but the y-coordinates will be opposite in sign.
For point P(-4,1):
The x-coordinate remains the same and the y-coordinate changes sign, so the image of P is P'(-4, -1).
For point Q(-2,-8):
The x-coordinate remains the same and the y-coordinate changes sign, so the image of Q is Q'(-2, 8).
For point R(8,-1):
The x-coordinate remains the same and the y-coordinate changes sign, so the image of R is R'(8, 1).
The vertices of the image reflected across the x-axis are P'(-4, -1), Q'(-2, 8), and R'(8, 1).
Therefore, the correct answer is A. • P'(-4, -1), Q'(-2, 8), and R'(8, 1).