Geometry Proof Vocab

A geometric sentence written in the form “If , then .”

• Biconditional

• Transitive Property

• Conditional Statement

• Conjecture

A geometric sentence in which the order of the hypothesis and the conclusion of a conditional statement are reversed

• Conditional

• Converse

• Counterexample

• Symmetric Property

If a conditional statement and its converse are both true, then this type of statement can be written of the form “ if and only if .”

• Conditional

• Reflexive Property

• Inductive Reasoning

• Biconditional

an explanation in words or diagrams that proves that a given conditional statement is not true.

• Counterexample

• Conjecture

• Biconditional

• Deductive Reasoning

The process of looking for patterns to make educated guesses about a situation.

• Deductive Reasoning

• Inductive Reasoning

• Conjecturing

• Counterexample

Tags

CCSS.HSS.IC.B.4

The process of using facts, laws, or definitions to come to a logically sound conclusion about a situation.

• Inductive Reasoning

• Conditional Statement

• Deductive Reasoning

• Biconditional

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5

If p → q is a true conditional statement, and p is true, then q is true

• Law of Syllogism

• Substitution

• Deductive Reasoning

• Law of Detachment

If p → q is true and if q → r is true, then p → r is true

• Law of Syllogism

• Law of Detachment

• Reflexive Property

• Inductive Reasoning

an unproven statement based on observations.

• Biconditional

• Conditional

• Conjecture

• Counterexample

0. If a = b and if b = c, then a = c AND If a ≅ b and if b ≅ c, then a ≅ c

• Transitive Property

• Symmetric Property

• Reflexive Property

• Substitution Property

Tags

CCSS.HSG.SRT.B.5