ADVANCED GEOMETRY SECTION 2.7 Transitive and Substitution Properties.

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Presentation transcript:

ADVANCED GEOMETRY SECTION 2.7 Transitive and Substitution Properties

Objective  I can solve problems and write proofs involving the Transitive and Substitution Properties.

Theorem: Transitive Property  If two angles (or segments) are congruent to the same angle (or segment), then they are congruent to each other.  Example: If

Theorem: Transitive Property  If angles (or segments) are congruent to congruent angles (or segments), then they are congruent to each other.  Example:

Substitution Property  Replace one angle with another.  Use with complementary and supplementary angles.  Example: If is comp to and then is comp to.

Given: Conclusion: is supp 132 BCDA E Statements Reasons

Homework  p. 91 #1, 3, 4, 11, 12 (Mult. & Div. Prop)  P. 97 #3 – 5, 10, 12 (Transitive & Substitution)