Question

which coordinate is the same as the x-coordinate of point p?opposite of x-coordinate of point pwhich coordinate is the same as the y-coordinate of point p?x-coordinate of point py-coordinate of point popposite of x-coordinate of point popposite of y-coordinate of point p(the image shows a coordinate grid with triangle pqr and its rotation pqr around the origin. point p is (3,1), p is (-3,-1), q and r are in the first quadrant, q and r are in the third quadrant.)

Explanation:

Step1: Identify coordinates of P and P'

Point \( P = (3,1) \), so \( x_P = 3 \), \( y_P = 1 \). Point \( P' = (-3,-1) \), so \( x_{P'} = -3 \), \( y_{P'} = -1 \).

Step2: Match \( x_{P'} \) to options

\( x_{P'} = -3 = -x_P \), which is the opposite of \( x \)-coordinate of P.

Step3: Match \( y_{P'} \) to options

\( y_{P'} = -1 = -y_P \), which is the opposite of \( y \)-coordinate of P.

Answer:

For the x-coordinate of \( P' \): Opposite of x-coordinate of point P
For the y-coordinate of \( P' \): D. Opposite of y-coordinate of point P