# Geometry Chapter 2 terms, postulates and theorems

### 29 terms by mspeckham Teacher

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Parker Glencoe

### Conclusion

In a conditional statement, the statement that immediately follows the word then.

### Conditional Statement

A statement of the form "If A, then B." The part following if is called the hypothesis. The part following then is called the conclusion.

### Conjecture

An educated guess.

### Contrapositive

The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

### Converse

The statement formed by interchanging the hypothesis and the conclusion of a conditional statement.

### Counterexample

An example used to show that a given general statement is not always true.

### Hypothesis

In a conditional statement, the statement that immediately follows the word if.

### Inductive reasoning

Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Conclusions arrived at by inductive reasoning lack the logical certainty of those arrived at by deductive reasoning.

### Inverse

The denial of a statement.

### Law of Detachment

If p-->q is a true conditional and p is true, then q is true.

### Law of Syllogism

If p-->q and q-->r are true conditionals, then p-->r is also true.

### Deductive Reasoning

reasoning used to reach conclusions that must be true wherever the assumptions on which the reasoning is based are true

### If - Then Statement

a compound statement of the form "If A, then B," where A and B are statements

### Negation

to deny a statement is to negate a statement, (logic) a proposition that is true if and only if another proposition is false

### Proof

a formal series of statements showing that if one thing is true something else necessarily follows from it

### Two Column Proof

a type of proof written as numbered statements and reasons that show the logical order of an argument

### Venn Diagram

A diagram that uses circles to display elements of different sets. Overlapping circles show common elements.

If a = b, then a + c = b + c
If a = b, then a - c = b - c

### Distributive property

a(b + c) = ab + ac

### Multiplication and Division Properties

for all numbers a, b, and c if a=b then ac=bc and if c does not equal 0 then a/c=b/c

a=a

### Substitution Property

If a=b, then a can be substituted for b in any equation or expression

if a=b, then b=a

### Transitive Property

If a=b and b=c, then a=c

If B is between A and C, then AB+BC=AC

### Supplement Theorem

If two angles form a linear pair, then they are supplementary angles,, Supplements of congruent angles are congruent

### Linear Pair

a pair of adjacent angles whose non-common sides are opposite rays

### congruent segments

Segments that have the same length

### vertical angles

A pair of opposite congruent angles formed by intersecting lines.

Example: