![]() ![]() The protasis is the first, or “if,” part of a conditional statement.Ī set is a collection of numbers, letters or anything. The hypothesis is the first, or “if,” part of a conditional statement.Īn if-then statement is another name for a conditional statement. ![]() The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion, consequent or apodosis. The antecedent is the first, or “if,” part of a conditional statement. What if you were given a statement like "All squares are rectangles"? How could you determine the hypothesis and conclusion of this statement?Ī conditional statement (or 'if-then' statement) is a statement with a hypothesis followed by a conclusion.Ī geometric figure formed by two rays that connect at a single point or vertex. It can be rewritten: If a triangle is equiangular, then it is equilateral. Statement 5 “if” and “then” are not there. It can be written: If I win the lottery, then I will be a millionaire. Statement 4 uses the word “when” instead of “if” and is like Statement 2. The statement can be rewritten: If the weather is nice, then I will wash the car. If the word “if” is in the middle of the statement, then the hypothesis is after it. The hypothesis of Statement 1 is “you work overtime.” The conclusion is “you’ll be paid time-and-a-half.” Statement 2 has the hypothesis after the conclusion. ![]() Statements 1 and 3 are written in the “if-then” form.
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