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# What Is the Law of Syllogism in Geometry?

**The law of syllogism in geometry states that "if p, then q," and "if q then r."** It’s also possible to derive a third statement that "if p, then r." The “if-then” statement applies to the law of syllogism to aid in deductive reasoning.

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For example, if Jane encounters a traffic jam today, she reports to work late, and if Jane reports to work late, her boss penalizes her. Letting "p" be the statement “encounters a traffic jam today,” "q" be the statement “reports to work late” and "r" be the statement “her boss penalizes her,” by the law of syllogism, a third statement may be deduced that if Jane encounters a traffic jam today, her boss will penalize her.

The relationship between "p" and "q," which is p ? q and read as "if p, then q," is called a conditional statement and involves a hypothesis that’s followed by a conclusion. For example, if 50 percent of students in a class is male, then 50 percent of the class must be female. Interchanging positions of the hypothesis and its conclusion result in the converse statement: if 50 percent of students in a class is female, then 50 percent of the class must be male. A conditional statement and its converse don’t have the same implications.

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Q:
## What Is a Converse in Geometry?

A: The converse in geometry applies to a conditional statement. In a conditional statement, the words "if" and "then" are used to show assumptions and conclus... Full Answer >Filed Under: -
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## What Is the Law of Detachment in Geometry?

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## What Are the Converse, Invere and Contrapositive in Geometry?

A: In geometry, converse, inverse and contrapositive are conditional statements consisting of a hypothesis and a conclusion. These statements are also known a... Full Answer >Filed Under: -
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## What Are Some Common Math Formulas in Geometry?

A: Common formulas in the study of geometry include calculating the perimeter and area of shapes. For example, the perimeter or outside of a rectangle is the ... Full Answer >Filed Under: