Judaeo Christian lore mentions dragons and dinosaur like creatures in the Old Testament scriptures and assigns a malevolent nature.
In Isaiah 27:1 "In that day the Lord with his hard and great and strong sword will punish Leviathan the fleeing serpent, Leviathan the twisting serpent, and he will slay the dragon that is in the sea."
The New testament Book of Revelations might well be building on Old Testament lore in its Dragon Narratives
Egyptian creation myths describe the serpent like dragon Apep who is somewhat like the serpent of Eden. He is the spirit of evil, chaos and darkness and depicted as a Giant Serpent.  Babylonians, Hittites and Persians all had their own Dragon legends as well.
Ancient Romans used the Dragon as a symbol of strength for their military in much the same way America uses the Bald Eagle and Russia the Bear. In medieval England slaying a dragon could not only get you laid by a damsel in distress it also got you Knighthood.
Anthropology and archaeology is the study of human cultures while Paleontology is the study of the evolution of plants and animals.
There is a trove of paleontological evidence to prove that Dinosaurs existed, there is a minuscule amount to prove that Humans and Dinosaurs Co-existed.
In Africa the Dragons are serpent-like and at times two legged as opposed to the predominantly 4 legged leviathans of Eurasian Myths. At present Mokele-Mbembe a dinosaur like cryptid is said to still dwell in the Congo jungle. Some Photographs from a 1970s expedition survive, while others including a video are lost, misplaced or destroyed 
The Australian Aborigines, isolated from the bulk of humanity also have their own dragon legends such as the rainbow serpent and the bunyip, which is/was said to make its habitat in ponds and streams. Aborigines also have traditions of massive reptiles that lived in the swamps, ate plants, had a small head which sat at the end of a very long and narrow neck. Its massive body was carried on 4 legs, which were followed by a long pointed tail . A near perfect description of a class of dinosaurs science has labeled sauropods See: Sea Serpents Lake Monsters and Dinosaurs. Another Aboriginal legend tells of the 'whowie' a dragon like creature which is somewhat reminiscent of the Egyptian Dragon God Apep and ties in with their Creation Myths - called the "Dream-Time" by the Native Australians. 
In Hawaii the legends tell of a dragon called a mo'o which ranks among Polynesians most mysterious mythical creatures. They were considered "Ghost Gods" of the ancient Hawaiians. New Zealanders used similar names for their Dragon Gods but pronounced it with a 'K' - the dragons became the Mo-ko. 
Native American legends are rife with tales of Dragons starting with the feathered serpent - god of the Mayans, and ranging both North and South , such as the Angont, a Canadian native legend of a large predatory reptile found in desolate places.
Other tales of flying dinosaur like birds come from Not only North America, but Indonesia in the South Pacific. In New Guinea many local people in some extremely rural communities carry on ancient local languages and traditions which tell of a very large and ominous creature that glows in the dark as it sails through the night skies. Although it is referred to by various names, the most common are Kor and ropen. See - Living Pterosaurs, Pterodactyls
That Dragon tales appear throughout recorded history and in nearly every culture is undeniable. The origins of these tales are muted by time. Some may well be simply fairy tales but many may also be primal memories of a time when Dragons and Men coexisted. As per conventional Modern science man and dinosaur / dragon never co-existed - accumulative mounting evidence seems to indicate that perhaps this hypothesis is in dire need of re-evaluation.
In fact some evidence seems to indicate that not only did we co-exist with these reptilian monstrosities in the past but that scattered remnants of the Dinosaur Realm lingers on till this very day.
There is an ancient Roman town in the Golan Heights by Israel that harbored a Synagogue known as Umm El-Kanatir [mother of the arches]. The Jews occupied it from circa 400 AD till it was turned to ruins by an Earthquake in 749 AD.
Excavations in 2003 uncovered a stone carving that seems to depicts two Dinosaurs attacking a horse. The most common intertretation is that one Dinosaur was chasing the horse while another would hide and lunge out and to ambush the prey.
1. Dragons, a Brief History Long in Miles NY Times By DONALD G. McNEIL Jr. April 29, 2003
2. Enuma Elish: The Babylonian Creation Epic
3. Egyptian Gods: The Gods and Goddesses of Ancient Egypt
4. Evil in Our Midst: A Chilling Glimpse of Our Most Feared and Frightening Demons David E. Jones 9/2001 Pgs. 26 - 31
5. Reclaiming the Loch Ness Monster
6. Legends of Gods and Ghosts Collected and Translated from the Hawaiian W. D. Westervelt 7/2016 Pg. 235
7. Bunyips: Australia's folklore of fear Robert Holden 6/2004 Pg. 118