The co ordinates of P' is (-7,-2) and Q' is (-16, -8)
Explanation
PQ is rotated 180 degrees clockwise about P. It means P and P' are the same points.
According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)
When PQ is rotated 180 degrees clockwise about P, then P or P' will be the mid-point of Q and Q'
Suppose, the co ordinate of Q' is (x, y)
Now according to the mid-point formula, the coordinate of P or P' will be: [tex](\frac{x+2}{2},\frac{y+4}{2})[/tex] , which is actually at (-7, -2)
Thus.....
[tex]\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8[/tex]
So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)
