The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:
(Antecedent) [tex]p:[/tex] They had a guard dog.
(Consequent) [tex]q:[/tex] No one would trust pass on their property.
Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.
We kindly invite to check this question on propositions: https://brainly.com/question/18545645