Christmas Streak 04/88: Fill In The Diagram

Logic Level 1

I want to fill in the eight circles below using each of the numbers 1, 2, 3, 4, 5, 6, 7, 8 exactly once. Additionally, consecutive numbers--e.g. $(1, 2)$ or $(5,6)$ -- cannot be placed in circles which are connected by a line segment.

Is this possible, and if so, what is the sum of the two numbers in the middle?

It is possible, and the sum is 3 It is possible, and the sum is 7 It is possible, and the sum is 9 It is possible, and the sum is 10 It is impossible