A:### Quick Answer

**In geometry, the law of detachment is a form of deductive reasoning in which two premises in relation to the same subject are examined to come to a reasonable conclusion.** This law considers a hypothesis made with regard to a statement and uses deductive reasoning to find a true answer.

The "if" part of the law of deductive reasoning is always a hypothesis or a reasoned guess. The statement made after "then" is the conclusion. This is also referred to as a conditional statement. The hypothesis must be proven to be true in order for the conclusion to be true as well. Another example of the law of deductive reasoning would be:

- All mammals have fur
- All cats have fur
- All cats must be mammals

If the conclusion is false and the hypothesis is true in a conditional statement, then the conditional statement itself is false. A converse statement in the law of detachment happens when the hypothesis and the conditional statement are reversed. In the given example, the conclusion that all cats must be mammals would remain true.

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- Q:
## What is sacred geometry?

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Full Answer >**Sacred geometry refers to universal patterns, ordinarily appearing in sacred architecture and art.**It is believed that geometry, mathematical rations and proportions are also found in music and cosmology. This is considered to be a cultural universality.Filed Under: - Q:
## Who invented geometry?

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Full Answer >**The inventor of geometry was Euclid, and his nickname was The Father of Geometry.**Euclid obtained his education at Plato's Academy in Athens, Greece and then moved to Alexandria.Filed Under: - Q:
## What is a ray in geometry?

A:In geometry, a ray is a straight line extending infinitely from a fixed point. A ray is expressed using an arrow as its symbol (--->). A ray cannot be measured since it does not have an end on one side.

Full Answer >Filed Under: - Q:
## What does "congruent" mean in geometry?

A:In geometry, the term congruent refers to two items being the same size and shape. Congruent can be used to describe shapes, sides, segments and/or angles.

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