2) 8
7
A town has four coffee shops, A, B, C and D. An
entrepreneur wishes to open a new shop in the town but
would like it to be as far as possible from all the other
four coffee shops.
The Voronoi diagram of the coffee shops is shown to the right
6
D
5
4.
P
a) What are the coordinates of coffee shop C?
3
B
2
1
b) What is the equation of line QP?
0
1
2
3
4
6
9 10
c) What is the equation of the perpendicular bisector of CD?
d) What are the coordinates of point P?