math conditional statements

• Original: if my lizard is hungry then he will eat. True/ False: this statement is true because most animals will eat when they get hungry.  
• Inverse: if my lizard is not hungry then he will not eat. True/ False: this statement is false because my lizard eats even when he is not hungry. 
• Converse: if my lizard is eating then he is hungry. True/ False: this statement is false because animals aren't always eating because they are hungry but to store body fat for the winter. 
• Contrapositive: if my lizard is not eating then he is not hungry. True/ False: this statement is true because if you flip it, the statement is still true and if he is not eating then he is most likely not hungry.