Did Jesus fulfil the Old Testament prophecies of the Messiah?

Isaiah 52:13–53:12

¹³Behold, my servant shall deal prudently, he shall be exalted and extolled, and be very high. ¹⁴As many were astonied at thee; his visage was so marred more than any man, and his form more than the sons of men: ¹⁵So shall he sprinkle many nations; the kings shall shut their mouths at him: for that which had not been told them shall they see; and that which they had not heard shall they consider. ¹Who hath believed our report? and to whom is the arm of the LORD revealed? ²For he shall grow up before him as a tender plant, and as a root out of a dry ground: he hath no form nor comeliness; and when we shall see him, there is no beauty that we should desire him. ³He is despised and rejected of men; a man of sorrows, and acquainted with grief: and we hid as it were our faces from him; he was despised, and we esteemed him not. ⁴Surely he hath borne our griefs, and carried our sorrows: yet we did esteem him stricken, smitten of God, and afflicted. ⁵But he was wounded for our transgressions, he was bruised for our iniquities: the chastisement of our peace was upon him; and with his stripes we are healed. ⁶All we like sheep have gone astray; we have turned every one to his own way; and the LORD hath laid on him the iniquity of us all. ⁷He was oppressed, and he was afflicted, yet he opened not his mouth: he is brought as a lamb to the slaughter, and as a sheep before her shearers is dumb, so he openeth not his mouth. ⁸He was taken from prison and from judgment: and who shall declare his generation? for he was cut off out of the land of the living: for the transgression of my people was he stricken. ⁹And he made his grave with the wicked, and with the rich in his death; because he had done no violence, neither was any deceit in his mouth. ¹⁰Yet it pleased the LORD to bruise him; he hath put him to grief: when thou shalt make his soul an offering for sin, he shall see his seed, he shall prolong his days, and the pleasure of the LORD shall prosper in his hand. ¹¹He shall see of the travail of his soul, and shall be satisfied: by his knowledge shall my righteous servant justify many; for he shall bear their iniquities. ¹²Therefore will I divide him a portion with the great, and he shall divide the spoil with the strong; because he hath poured out his soul unto death: and he was numbered with the transgressors; and he bare the sin of many, and made intercession for the transgressors.

Luke 24:13–27

¹³And, behold, two of them went that same day to a village called Emmaus, which was from Jerusalem about threescore furlongs. ¹⁴And they talked together of all these things which had happened. ¹⁵And it came to pass, that, while they communed together and reasoned, Jesus himself drew near, and went with them. ¹⁶But their eyes were holden that they should not know him. ¹⁷And he said unto them, What manner of communications are these that ye have one to another, as ye walk, and are sad? ¹⁸And the one of them, whose name was Cleopas, answering said unto him, Art thou only a stranger in Jerusalem, and hast not known the things which are come to pass there in these days? ¹⁹And he said unto them, What things? And they said unto him, Concerning Jesus of Nazareth, which was a prophet mighty in deed and word before God and all the people: ²⁰And how the chief priests and our rulers delivered him to be condemned to death, and have crucified him. ²¹But we trusted that it had been he which should have redeemed Israel: and beside all this, to day is the third day since these things were done. ²²Yea, and certain women also of our company made us astonished, which were early at the sepulchre; ²³And when they found not his body, they came, saying, that they had also seen a vision of angels, which said that he was alive. ²⁴And certain of them which were with us went to the sepulchre, and found it even so as the women had said: but him they saw not. ²⁵Then he said unto them, O fools, and slow of heart to believe all that the prophets have spoken: ²⁶Ought not Christ to have suffered these things, and to enter into his glory? ²⁷And beginning at Moses and all the prophets, he expounded unto them in all the scriptures the things concerning himself.

2 Samuel 7:12–16

¹²And when thy days be fulfilled, and thou shalt sleep with thy fathers, I will set up thy seed after thee, which shall proceed out of thy bowels, and I will establish his kingdom. ¹³He shall build an house for my name, and I will stablish the throne of his kingdom for ever. ¹⁴I will be his father, and he shall be my son. If he commit iniquity, I will chasten him with the rod of men, and with the stripes of the children of men: ¹⁵But my mercy shall not depart away from him, as I took it from Saul, whom I put away before thee. ¹⁶And thine house and thy kingdom shall be established for ever before thee: thy throne shall be established for ever.

Acts 8:26–35

²⁶And the angel of the Lord spake unto Philip, saying, Arise, and go toward the south unto the way that goeth down from Jerusalem unto Gaza, which is desert. ²⁷And he arose and went: and, behold, a man of Ethiopia, an eunuch of great authority under Candace queen of the Ethiopians, who had the charge of all her treasure, and had come to Jerusalem for to worship, ²⁸Was returning, and sitting in his chariot read Esaias the prophet. ²⁹Then the Spirit said unto Philip, Go near, and join thyself to this chariot. ³⁰And Philip ran thither to him, and heard him read the prophet Esaias, and said, Understandest thou what thou readest? ³¹And he said, How can I, except some man should guide me? And he desired Philip that he would come up and sit with him. ³²The place of the scripture which he read was this, He was led as a sheep to the slaughter; and like a lamb dumb before his shearer, so opened he not his mouth: ³³In his humiliation his judgment was taken away: and who shall declare his generation? for his life is taken from the earth. ³⁴And the eunuch answered Philip, and said, I pray thee, of whom speaketh the prophet this? of himself, or of some other man? ³⁵Then Philip opened his mouth, and began at the same scripture, and preached unto him Jesus.