Every natural object in the sky appears to
rise in the east and set in the west.
Yes.
They appear to rise and set as a result of Earth's rotation.
Yes, the constellation Eridanus appears to move across the night sky due to Earth's rotation. It generally moves from east to west as the night progresses. This motion can vary slightly depending on the time of year and your location on Earth.
They're constellations which appear around the celestial poles, which never seem to rise or set.
Earth rotates toward the east, so all stars appear to rise in the east.
The Earth's rotation causes the constellations in the night sky to appear to move across the horizon. This rotation causes the constellations to rise and set at different times throughout the year, leading to different constellations being visible during different seasons. Additionally, the Earth's atmosphere can cause the stars to twinkle and appear less bright or crisp, depending on factors such as air pollution or atmospheric conditions.
Constellations rise in the East and proceed westward during the night as the Earth rotates under them.
All of them. Well, that's not entirely accurate. At the Equator, EVERY constellation seems to rise in the East and set in the west. At the mid-latitudes, there are some constellations that are "circum-polar"; they never actually rise, and never actually set. In most of the United States, for example, the constellations of Ursa Major and Cassiopeia never rise; they become visible in the sky when the Sun sets, and they disappear into the lightening sky when the Sun rises. In the Arctic or Antarctic regions, MOST stars and constellations are circum-polar. But all the constellations that rise, rise in the East. And if they set at all, they set in the west. And I need ANOTHER correction - because none of the stars move enough in a lifetime for them to change their positions in the sky. It's the Earth itself that does the spinning, and the rising and setting that we THINK we see is an effect of us living on a globe that's spinning like a carousel.
The sun and its light eliminates stars that are 6 degrees (civil twilight) 12 degrees (nautical twilight) and 18 degrees (astral twilight) from it. Thus a whole constellation. So if you are up all night as the stars rise and set, then you will see 11 constellations of zodiac. Only one of 30 degrees is blinded, (on both sides of the sun = 12 degrees civil; 24 degrees nautical; 36 degrees astronomical).
If the sun or stars appear to rise from behind the mountain then you are to its west, otherwise you are to its east.
No, it is due to the rotation of the Earth.
In that case, they will move up. They rise, as Earth rotates eastward.
Circumpolar constellations are those that never set below the horizon. The further north (or south) one travels, the more constellations are circumpolar. Where I live, above the 45th parallel, most of the Big Dipper stars are circumpolar, but Arcturus is not, and the constellation of Orion sets below the horizon in the summer. Equatorial constellations are those that pass directly overhead when one is between the tropics of Cancer and Capricorn. I believe these are primarily the 13 constellations of the zodiac.