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Chapter 2 – Reason and Proof

2.6 Proving Geometric Relationships

EQ: Why can theorems be a great shortcut for other proofs?

Four new theorems and one postulate today.  They are the last ones listed under their sections in the handout below.  You will get to use a similar handout for the next assessment.

Prep work:  p111(3-6, 13-16, 18, 23, 31-36)

Handout: Ch 1/2 Definitions, Postulates, Properties and Theorems

2.5 Two Column Proofs

EQ: How can you show your geometric reasoning in a 2-column proof format?

Important gateway between Algebraic properties and Geometric properties is the Definition of Congruence.  Additional properties covered include reflexive, symmetric and transitive of congruence for segments and angles.

Prep work:  p103(3, 4, 13-15, 23-26)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment.  You also need to complete a majority of the problems on any missing assignment.  Retake must be done by Friday, Oct. 18th.

2.4 Algebraic Reasoning

EQ: How can you show your algebraic reasoning in a 2-column proof format?

Review algebraic properties of equality (addition, subtraction, multiplication and division) along with substitution and the distributive property.  Additional properties covered include reflexive, symmetric and transitive (for algebraic equations, segments and angles).

Prep work:  p96(3-6, 13-14, 19-42, 46-47)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment.  You also need to complete a majority of the problems on any missing assignment.

2.3 Postulates and Diagrams

EQ: What can and can’t be assumed in a diagram?

There are seven “new” postulates on p84 in textbook but we already know these from the first chapter.  Now they are formally stated for easy reference.

Prep work:  p63(1-13)  p87(13-24, 31, 34)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment.  You also need to complete a majority of the problems on any missing assignment.