Question

The relative positions of the stars in the night sky
A.Are absolutely fixed and therefore we can name constellations with certainty.
B.Change appreciably over about four thousand years, which is why the ancient. Egyptians named different constellations than those of today.
C.Are changing, but very slowly such that appreciable change cannot be observed even over several centuries or even several thousand years.
D.Appear to change because the sun moves among them over the course of a year.

Answer 1

Hint: The stars appear to move along our sky and it has two different regions. One of the reasons is the rotation of the Earth and the other one is the Earth self moving across the Sun. The Earth travels along the Sun once a year.

Complete answer: The direction of the stars move in the night sky is east to west. As, we know that the star is not moving, but there is a rotational motion of the Earth. While the earth rotates with an axis it’s pointed in the direction of the North Star, So that's why the star appears to move from east to west in the sky.
Everything in nature tries to be at its minimum potential energy. The planetary objects deviate in their places due to their gravitational potential energy, the capability to hold on at the distance where it’s a minimum.
So, there is the changing, but very slowly such that appreciable change cannot be observed even over several centuries or even several thousand years.

So, the option (C) is correct.

Note:
The apparent location of any given star in the sky, which appears to be specified into an arbitrary sphere centered on the Earth.
The stars move, exactly far away but very slowly. For us, it’s tough for us to detect the movement of the stars. Even the closest stars are very, very, long. So, obviously, the movement relative to each other is going to be microscopic.