VOCAB - Unit 2 - Logic & Reason

Transitive Property of Congruence

• if $a=b$ and $b=c$ , then $a=c$
  

• if $\ \overline{AB}\cong\overline{XY}\$ and $\ \overline{XY}\cong\overline{MN}\$ then $\ \overline{AB}\cong\overline{MN}$

• if $a=b$ and $b=c$ , then $ab=bc$

• if $AB=XY$ and $XY=MN$ then $AB=MN$

Reflexive Property of Equality

• a = a

• if a = b then b = a

• if $\overline{AB}\cong\overline{BA}$ then $\overline{BA}\cong\overline{AB}$

• if $AB=BC$ then $BC=CD$

Reflexive Property of Congruence

• a = a

• if a = b then b = a

• if $\overline{AB}\cong\overline{BA}$ then $\overline{BA}\cong\overline{AB}$

• if $AB=BC$ then $BC=CD$

Symmetric Property of Equality

• a = a

• if a = b then b = a

• if $\overline{AB}\cong\overline{BA}$ then $\overline{BA}\cong\overline{AB}$

• if $AB=BC$ then $BC=CD$

Which of the following is a FALSE statement concerning the Distributive Property.

• a(b + c) = ab +bc

• ab - bc = (b - c)a

• It is considered the same as multiplication for priority in PEMDAS

• It is considered the same as addition/subtraction for priority in PEMDAS

An "educated guess" that is based on examples in a pattern

• Counter example

• Conjecture

• Conclusion

• Theorem

Disproves a conjecture

• Counterexample

• Conclusion

• Falsehood

• Jelly Beans

The "if" part of a conditional statement

• Conjecture

• Counter example

• Hypothesis

• Conclusion

The "then" part of a conditional statement

• Hypotheses

• Conclusion

• Conjecture

• Result

A statement with a hypothesis followed by a conclusion

• Inductive Statement

• Deductive Statement

• Conditional Statement

• Result statement