How do we know that Jesus is the fulfillment of the Old Testament prophecies?

The New Testament portrays Jesus as the culmination of Old Testament prophecy, where Paul emphasizes that all scriptures testify of Him. In the Gospel accounts, Jesus affirms this by explaining to His disciples how the prophecies concerning the Messiah are fulfilled through His death and resurrection. Hebrews 8:5 mentions that the Old Testament priests served in a manner that was but a shadow of the heavenly reality found in Christ. He is the Lamb of God, prefigured in the sacrificial system and the promises made to the patriarchs. This fulfillment is not just in events but also in His very nature, where He embodies perfection and represents the covenant of grace that offers security and comfort to all who believe.