1. Since New Moon is in front of the Sun, it means that wherever the Sun is, that's where New Moon is or vice versa! In other words, the Sun should be on the western horizon, sunset, and the time is 6 PM.

2. New Moon rises when the Sun rises since it is in "front" of the Sun. Therefore, the statement is false!

3. Again, since New Moon is in front of the Sun, the Sun has to be 45 degrees below the eastern horizon as well. That would make the time to be 3 AM.

4. If both the Sun and New Moon are 45 degrees below the western horizon, then the time is 9 PM.

5. If the Moon is opposite of the Sun, the it has to be Full Moon, 180 degrees away.

6. If the Moon rises 6 hours after the Sun, the it has to be First Quarter because First Quarter Moon is 90 degrees East or 6 hours behind (after) the Sun.

7. Third Quarter Moon is 90 degrees West or 6 hours ahead (before) of the Sun. So when Third Quarter Moon is 45 degrees above the western horizon, that puts the Sun 45 degrees above the eastern horizon, and of course, the time is 9 AM (half way between 6 AM--sunrise--and noon).

8. First Quarter Moon is 90 degrees East or 6 hours behind (after) the Sun. So when First Quarter Moon is 45 degrees above the western horizon, that puts the Sun 45 degrees below the western horizon, and of course, the time is 9 PM (half way between 6 PM--sunset--and midnight).

9. And when First Quarter Moon is on the eastern horizon, the Sun is on the meridian--noon.

10. According to the definition of the First Quarter Moon, it is East (behind) of the Sun which means that the statement is wrong--false.

11. First Quarter Moon rises at noon and sets around midnight. It is known as an evening Moon so you're not supposed to see it around the morning hours.

12. If Last (Third) Quarter Moon is 45 degrees above the eastern horizon, then the Sun is 45 degrees below the eastern horizon because Last Quarter Moon is 90 degrees ahead (West) of the Sun--3 AM.

13. It takes 29.5 days (Synodic Period of the Moon) to go from one First Quarter to the next First Quarter. We will call it about 4 weeks to make it easy...

14. To go from Waxing Crescent to Waning Gibbous, it takes about 2 weeks or 14 days.

15. Again, New Moon should be in front of the Sun so when the Sun is on the other side of the Earth (midnight), New Moon is also on the other side of the Earth--not visible!

16. When the Sun is on the other side of the Earth (opposite of the meridian), First Quarter Moon has to be on the western horizon since it is 90 degrees East or 6 hours behind the Sun--moonset!

17. If the Sun is opposite of the meridian, that would put Full Moon on the meridian so Full Moon is on the meridian at midnight.

18. Remember that Last Quarter Moon is 90 degrees West or 6 hours ahead of the Sun, so at midnight, Last Quarter Moon is on the eastern horizon--moonrise!

19. Last Quarter Moon is now on the western horizon (moonset), the Sun will be on the meridian--noon.

20. The Sun sets on the western horizon (6 PM), so you must look toward the eastern horizon to see Full Moon since Full Moon is opposite of the Sun.

21. The Sun and New Moon should be on the same place so New Moon should be on the western horizon as well.

22. First Quarter Moon should set at midnight since it is behind the Sun by 6 hours. (Third Quarter Moon should set at noon because it is 6 hours ahead of the Sun.)

23. When the Sun is on the meridian, it is known as noon! And of course, Full Moon is on the other side of the Earth, not visible...

24. Recall that the Ecliptic, where you find the Sun, Moon, & planets, is tilted toward the south so you need to face south to find the Moon, not north.

25. If the Moon is 90 degrees west of the Sun, that's the definition of Last/Third Quarter Moon.