Yes. Those that never set are called circumpolar stars. For example, if you live 50 degrees north of the equator, any star that is 50 degrees or less from the north pole of the sky will never set; any star that is 50 degrees or less from the south pole of the sky will never rise.
If you're standing exactly on the north Pole, then during the six months when the sun never rises, Polaris ... the "Pole" star or "North" star ... makes a tiny circle directly over your head once a day, about 1/3 of a degree from the North Celestial Pole. Everything else in the sky circles the same point once a day, but in much larger circles.
... very likely not the center of the universe, and not even the center of the solar system. This has never been PROVEN, since there's no way to prove it and it never CAN be proven, so it will always remain "just a theory". Now go and do the rest of your homework on your own.
Venus would never be visible as a crescent phase because it is an inner planet whose orbit is between Earth and the Sun. This means that Venus can never appear to us in crescent phase, as it would always show either a full or nearly full phase when viewed from Earth.
No, the moon never rises in the west. It always rises in the east and sets in the west due to the Earth's rotation.
Earth will always be considered a planet as long as it meets the criteria defined by the International Astronomical Union. There are no foreseeable circumstances in which Earth would cease to be classified as a planet.
No, the zenith is never reached due to position of the sun and earth
always.
No. It will only always be CLOSE to the zenith if you happen to be at the north pole. At other latitudes, for example if you live at 30° north latitude, it will be about 30° above the horizon (to the north), if you live at 50° north latitude, it will be about 50° above the horizon, etc.
Always
he never fully circled around the equator of Earth
it's is not always daytime. At surden times of the Summer, above the Arctic Circle, it is always daytime. Because the sun never sets. This have something to do with the rotation of the earth and the placement of the sun. and at surden times of the winter, it is always night time. Same explanation.
the answer is always
If you're standing exactly on the north Pole, then during the six months when the sun never rises, Polaris ... the "Pole" star or "North" star ... makes a tiny circle directly over your head once a day, about 1/3 of a degree from the North Celestial Pole. Everything else in the sky circles the same point once a day, but in much larger circles.
The diameter ALWAYS passes through the center of a circle. If it stopped at the center point, it would be a radius, and if it didn't do either, it would be chord.
Always one for sure, and never more than one.
about never
the radius is the distance of half-way across a circle. While some people would say it never connects 2 points on a circle, others will tell you that it connects the middle to the edge