Steem Riddle of the Week #7: Midpoints

Riddle #7: Midpoints

Last weeks riddle was solved by @themadrunnah, congrats to him for claiming the SBD prize!

This weeks riddle goes as follows:

How can you place 5 points on a plane such that:

1. All of the points have integer coordinates in both x and y (like (1, 4) or (6,2))
2. None of the midpoints of line segments formed by connecting any two of the 5 points have integer coordinates in both x and y

A valid solution must either list the coordinates of the 5 points or prove that 5 points satisfying the above do not exist.

Prize

This week, the first person to upvote and comment with a valid solution (as decided by me and only me) prior to this post paying out will win 1SBD! The prize will be paid out right after the rewards from the post are paid.

Don't forget to follow and to check out my past riddles

First off, thanks to everyone for all the support! If you'd like to browse my older riddles you can do so at the links below:

https://steemit.com/life/@droopy/steem-riddle-of-the-week-2-flipping-cards-prize-doubled
https://steemit.com/life/@droopy/steem-riddle-of-the-week-3-alternating-truth-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-4-black-cards-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-5-the-cup-game-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-6-burning-ropes-prize-doubled