David,
Members of The Church of Jesus Christ of Latter-day Saints (colloq. Mormons) believe that we are literally spirit children of God, that He is an exalted being, and that we can become like Him. Jesus Christ also has a physical body and He was the only begotten of The Father (God). Our physical bodies were not begotten of The Father, but we are all His spirit children, and Christ is our brother.
Paul explained it clearly when he said, "For in him we live, and move, and have our being; as certain also of your own poets have said, For we are also his offspring. Forasmuch then as we are the offspring of God, we ought not to think that the Godhead is like unto gold, or silver, or stone, graven by art and man’s device."
Acts 17:29
There are many Bible and other LDS canonized scriptures to support this doctrine. Here are some of the many references:
King James Bible
- Gen 1:27 God created man image
- Ps. 82:6 Ye are gods, children of the most High:
- Heb. 12:9 Be in subjection unto the Father of spirits
- Rom 8:16 The Spirit itself beareth witness with our spirit, that we are the children of God
- Phil. 3:21 His glorified body
- 1 Jn 3:1-2 Now are we the sons of God
LDS Canonized Scriptures
Book of Mormon
- Mosiah 5:7 You shall be called the children of Christ, his sons and his daughters
- Mosiah 27:25 All people must be born again, becoming his sons and daughters
- Ether 3:14 They shall become my sons and my daughters
- Moro. 7:19 Ye certainly will become a child of Christ
Pearl of Great Price
Moses 1:13 I am a son of God
Doctrine and Covenants
D&C 130:22 The Father has a body of flesh and bones as tangible as man’s
Bonus
There are many other Bible references to God and his physical body: