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It's important to know what the Bible says about itself, eg: - "All Scripture is God-breathed and is useful for teaching, rebuking, correcting and training in righteousness" (2 Tim 3v16) - "prophecy never had its origin in the will of man, but men spoke from God as they were carried along by the Holy Spirit." (2 Peter 1v21)
Generally speaking, when we are able to check up on things about Bible times (from archaeology, or from other written documents) they support what the Bible says.
The way the Bible describes our world makes sense. It rings true. We live in a good world made by God; it's gone wrong; but God cares, and has sent his Son to put things right. It makes sense of who we are too - it explains the mixture of good and evil we find within ourselves.
Jesus trusted the Bible. He thought is was totally reliable. And he is God the Son, so he knows what he's talking about. Over and over again Jesus quotes from the Scriptures, he appeals to the Scriptures in arguments - and when he's tempted by Satan it's the Scriptures he points to, to show that Satan is wrong.
Here's a couple of snippets from what Jesus says about the Bible (he uses different ways of describing the Bible: "the Scripture(s)", "the Law", etc ):
Now, of course, when Jesus says this only the Old Testament Scriptures have been written. But Jesus also makes particular, strong promises to the Apostles, who wrote and validated the New Testament. The "you" in these verses are the Apostles - that's who Jesus is speaking to:
The Bible is God's word, and God is trustworthy - so his word is trustworthy. (:showmore2end:)
See also: