State the hypothesis and the conclusion of each conditional.
The hypothesis is and the conclusion is .
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.
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.
The given statement “ if ” can be rewritten as “If , then ”.
Since, “” is followed by “If” and “” is followed by then “then” thus, the hypothesis is and the conclusion is .
Hence, the hypothesis is and the conclusion is .
Prove the following statement by filling in the blanks.
If A and B have coordinated a and b, with , and the midpoint M of has coordinate x, then prove .
1. A, M, and B have coordinated a, x, and b respectively; .
3. M is the midpoint of .
4. , or
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