Answer:
A. (2, 5)
Step-by-step explanation:
If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:
[tex]P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y)[/tex] (Eq. 1)
If we know that [tex]B(x,y) = (2,8)[/tex] and [tex]B'(x,y) = (2,2)[/tex], then the location of P is:
[tex]P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)[/tex]
[tex]P(x,y) = (1, 4)+(1,1)[/tex]
[tex]P(x,y) = (2, 5)[/tex]
Which corresponds to option A.
