Chapter 2: Q4 (page 34)
State the hypothesis and the conclusion of each conditional.
if S is the midpoint of
.
Short Answer
The hypothesis is S is the midpoint of 
and conclusion is 
.
Step by step solution
Step 1. Hypothesis and the conclusion.
The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.
Step 2. Symbolic representation.
If p represents the hypothesis and q represents the conclusion, then the basic form of an if-then statement is “If p, then q”. For example, in the statement “If today is Friday, then tomorrow is Saturday”, “today is Friday” is the Hypothesis, and “tomorrow is Saturday” is the Conclusion.
Step 3. Identification of the Hypothesis and the conclusion.
In the statement “
if S is the midpoint of 
”, therefore, “S is the midpoint of 
” is followed by “If” and “
” implies “then” thus, the hypothesis is S is the midpoint of 
and conclusion is 
.
Hence, the hypothesis is S is the midpoint of 
and conclusion is 
.
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, then
.
, then B is the midpoint of 
.