No. The varanid lizards of Australia ("gowanas") are omnivores. They'll eat fruit if they get it, but they also like eggs, insects, other lizards...
Some lizards are herbivores, but most are not. All snakes are carnivores.
All snakes and many lizards are carnivores. Some lizards are herbivores or omnivores.
Monkeys lizards and frogs are herbivores but some specific species are omnivores.
Neither they are actually omnivores
Rabbits, Deer, Tortoises, & Lizards.
The Australian deserts.
A goanna is an Australian monitor lizard. These lizards are large with sharp teeth and claws, and are predatory lizards.
all three"They are carnivors because they eat insects" - this is completely false.Lizards can be herbivores, carnivores, or omnivores depending on whether they eat only plants, only animals, or a combination of the two.
Frilled-neck lizards are not desert lizards. They live in tropical woodlands in northern Australia and parts of New Guinea.
Horses are strict herbivores. They may accidentally ingest bugs or small animals such as lizards, while grazing but this is not intentional, and does not change the fact that they are herbivores.
This question is inanwerable because it varies between lizards. Some lizards, like iguanas, are herbivores. Others are carnivores or omnivores.
Lizards can be herbivores, carnivores, or omnivores depending on whether they eat only plants, only animals, or a combination of the two.