Question

Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2).



(2, 5)

(5, 2)

(0, 5)

Answer 1

Draw the two points:


We see it has been reflected horizontally, since they are directly above each other. Therefore we want the point in between the two points:


What is halfway between two and eight?
\[Halfway=\frac{y_1+y_2}{2}\]\[Halfway=\frac{8+2}{2}\]\[Halfway=\frac{10}{2}\]\[Halfway=5\]
Therefore, the point halfway is \((2,5)\), which is the answer

Answer 2

thanks