Answer 1
About 1,25,000 holy Prophets (May peace be upon them all) were sent by Almighty God for the guidance of humans during different periods of time to different peoples. The basic teaching and the basic information remained the same, e.g. ONENESS of Almighty God, Angels, Day of Judgement, Life hereafter etc. But the rules of life and the manner of worship of Almighty God differed according to the culture and traditions of the people to whom a particular prophet was sent.
The Jews, the Christians and the Muslims follow the heavenly religion. The three worship the same God. The place of worship and the manner of worship differs according to the teachings of their Prophets (May peace be upon them all). That makes little difference as the Object of worship is the same.
Answer 2
Christian worship and Islamic worship have different aims for the worshiper and different understandings of the logistics of how a religious service should be organized.
In most forms of Christianity, the purpose of worship is partake of the eucharist and therefore be part of the Eternal Sacrifice that atones for all sin. The prayers exist additionally to elevate the soul in order to properly receive the sacrifice. Christians often (though not necessarily) pray in a combination of vernacular and a historical languages (such as Latin, Greek, Aramaic, Syriac, or Coptic) and the historical language choice has more to do with the history of the church than and holiness associated with that language. Most Christians also pray in a combination of sitting at pews, kneeling, and standing erect.
In most forms of Islam, the purpose of worship is to demonstrate complete capitulation to the Will of God and the acceptance of a Divine Mandate. As a result, Muslims pray on the floor in a kneeling position and will perform fully-body prostrations during certain prayers. The service is less strict than most Christian services in that the worshiper can pray using the Qur'anic verses that the worshiper desires as opposed to a set liturgy. All worship is done in Arabic out of reverence for the Qur'an and the Holy Language of Arabic.
However, it is historically very common (still to this day) for a church to become a mosque or a mosque to become a church. However, the Muslim prohibitions on any mosque having pictorial representations or interred bodies (as is common in cathedrals) often prevents a single religious building from serving both religions contemporaneously.
Muslims go to Mosques and Christians go to churches.
For Muslims -Mosque, for Hindus-Mandir, for Christians Church etc. Each religion has different name for its place of worship
Where you worship depends on your religion, not your nationality. People in Poland worship in many different types of places. Most Christians in Poland worship in a church, because Christians worship in a church. Most Jews in Poland worship in a temple or synogogue, because that is where Jews worship. Muslims in Poland worship in Mosques, because that is where Muslims worship. Many religions (including Christians, Jews, and Muslims) also worship at home.
There are many different people who worship in many different places. Many Christians for example choose to worship in a church.
Both of them are places for worship; the Mosque is for Muslims & the Church is for Christians.
A sacred place to worship a god is a temple, mosque, church, synagogue, or any other religious building dedicated to spiritual practices and rituals associated with a particular belief system or faith. These places are considered holy and are used for prayer, meditation, ceremonies, and other religious activities.
Muslims don't worship any building. Even, the Kaaba (that is the most sacred Islamic building) is not worshiped by Muslims but respected and honored by Muslims. If you wish to read about places where Muslims worship (both houses of worship and sacred sites) read the Related Question below.
There are three places of worship where Muslims should go: Makkah, Madina and Masjid Al Aqsa in Jerusulum
Churches.
For Muslims -Mosque, for Hindus-Mandir, for Christians Church etc. Each religion has different name for its place of worship
They are places where Christians worship God.
I presume you mean Muslims. The place of worship for Muslims is called a Masjid, also called a Mosque in some places.