Answer:
p: Point B lies on line segment AC
q: AB + BC = AC
Explanation:
We are given the following conditional statement:
If point B lies on line segment AC, then AB + BC = AC
A conditional statement is usually (although not always) written in the format 'if p, then q', where p is the hypothesis, and q is the conclusion
In our case, our statement is also written in 'if p, then q' format, and we need to identify what p and q are.
As shown earlier, is the hypothesis - these would be all the words after the word 'if', but before 'then'
In the statement given, all the words given after 'if' and before 'then' would be:
If point B lies on line segment AC, then AB + BC = AC
Meaning that p would be 'point B lies on line segment AC'
Meanwhile, q is the conclusion - these are all the words or phrases after the word 'then'
In our statement, all of the things after 'then' are:
If point B lies on line segment AC, then AB + BC = AC
Meaning that q would be 'AB + BC = AC'