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# GS Ch.2 Deductive Re

### GS - Geometry H. - Ch.2 - Deductive Reasoning

Conditional statement (conditional) Often written in if-then form.
Hypothesis If something happens. (p)
Conclusion The result of something happening. (q)
Converse Formed by interchanging the hypothesis and the conclusion. Ex: Conditional statement - If p, then q. ... - If q, then p.
Biconditional A statement combining a conditional and its converse.
Addition property of equality If x = 7, then x + 3 = 10.
Subtraction property of equality If x = 10, then x - 7 = 3
Multiplication property of equality If x = 2, then 2x = 4
Division property of equality If 2x = 4, then x = 2.
Substitution property If x = 3 and x + y = 7, then 3 + y = 7.
Equality Numbers, variables, lenths, angle measures.
Congruence Segments, angles, polygons.
Reflexive property DE = DE m<1 = m<1.
Symmetric property If DE = AB, then AB = DE. If m<1 = m<2, then m<2 = m<1.
Transitive property If m<1 = m<2 and m<2 = m<3, then m<1 = m<3.
Created by: MrGman