The answer will depend on where on earth you are trying to view it from.
Sagittarius the Archer, is right behind Scorpius the Scorpion. both visible in the summer sky - south if you live in the Northern Hemisphere.
Sagittarius is a summer constellation --- the best time of the year is August to see it at 9pm. Sagittarius is also a Southern constellation: if you're in North America, it can be seen roughly towards the south and will not rise very high on the sky.
Sagittarius can be seen in the summer months in the northern hemisphere.
A star chart
Sagittarius should appear highest in the sky at midnight right around the First of the Year, and it doesn't matter where on Earth you are.
Seen where - in the sky Seen when - after the full moon.
The constellation Sagittarius represents a centaur with a bow. Its name, in Latin, means archer. Sagittarius is one of the constellations listed by Ptolemy in the second century.
Sagittarius is not a planet, but a zodiac sign. It is spelled as S-A-G-I-T-T-A-R-I-U-S.
There's only one difference between the sky seen from the Earth and the sky seen from the moon. The sky seen from the Earth has a moon in it, and the sky seen from the moon has an Earth in it. Other than that, exactly the same objects in the same patterns are seen from both places.
... and the sky as seen from where else . . .
Well, if you look monthwise, it is the Rat. The month of the Rat corresponds with Sagittarius. Although, I also have once seen Tiger as the correspondence to Sagittarius. As a Sag, I don`t care which of both - both are cool. And I am a Snake in Easter Zodiac anyway... ^^
We can only speculate, and different people may have different opinions. To understand the true motive, you would have to inquire of He who placed those stars in those particular places in the sky. Or else consult the ancient individuals who looked at that group of stars, decided what it looked like to them, and gave it the name Sagittarius.