No. Just like planets, moons come in all sorts of sizes, and a few very small ones aren't even round (they are asteroids captured in orbit around some planet and have an irregular shape, as in Mars's moons Phobos and Deimos).
Your question does not make any sense. The Earth and the Moon stay the same size and are always in Space.
No, the moon and sun are not the same size. The sun is much larger than the moon.
No, the moon is not the same size as the sun. The sun is much larger than the moon.
Mercury is roughly the same size, but it is bigger than our Moon.
No, the moon is not doubling in size every hundred years. The moon's size remains relatively constant, as its distance from Earth and size do not change significantly over such a short period of time.
There is no planet that has the same size moon as the planet. This is only possible if Pluto was still a planet.
They appear to be the same size, as the sun is a very long distance away. The sun is many times larger than the moon.
The Earth and Moon appear the same size in the sky when viewed from Earth because the Moon is about 1/4 the size of Earth and is about 1/4 as far away from Earth as the Earth is from the Moon. This alignment creates the illusion that they have the same apparent size.
Mars is about twice as big as the Moon.
It would continue to orbit, as the gravity at the distance to the moon would remain the same.
Even tho the Moon is much smaller than the Sun, they appear to be the same size in the say, because the Moon is so much closer to the earth.
Though the sun is bigger the moon is closer to earth creating the illusion that they are the same size. Hope this helped.