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Geometry – Chapter 2: Reasoning and Proof
September 16 – 20
Chapter 3: Parallel and Perpendicular Lines
Objectives:
2.1 Identify hypotheses and conclusions
2.1 Rewrite statements into conditionals
2.1 Create converses of conditionals
2.2 Know and apply the rules of Biconditionals
2.3 Use deductive reasoning to find truths
2.3 Understand and apply the Law of Detachment
2.4 Understand and apply the Law of Syllogism
2.5 Understand and Utilize Reflexive, Symmetric,
Transitive, and Properties
2.5 Apply Properties of Equality and Congruence
3.1 Identify various angles when given parallel lines and
a transversal
3.1 Write a two-column proof.
3.2 Prove lines are parallel.
3.2 Solve equations involving parallel lines.
3.3 Use theorems involving parallel and perpendicular
lines.
Time Line:
Day 31 (9/16)
Chapter 2.5 Proving Angles
Congruent: Using the Angles
Theorems 2-1 -- 2-5, vertical
angles, congruent
supplements, and congruent
complements
Day 32 (9/17)
Chapter 2 Open-Notes
Quiz: Reasoning in
Algebra and Geometry:
properties of equality,
distribution, and
congruence
Day 33 (9/18)
Chapter 3.1 Identifying Lines
and Angles: identify relationships
between figures in space and
angles formed by lines and a
transversal
Assignment: (a) Read “Math
Assignment: Read p.98-99,
do p.101: #29-35, p.102: #3942, p.108: #10-27;
Review notes for open-notes
quiz tomorrow
Assignment: Skim chapters
1 and 2; do p.109: #1-19
Day 34 (9/19)
Day 35 (9/20)
Chapter 3.1 Properties
of Parallel Lines: apply
properties of parallel lines
to solve problems
Chapter 3.2 Proving
Lines Parallel: apply
properties, definitions,
and theorems of angles
and lines to solve
problems and write proofs
Assignment: Read p.
116-118; do p.118: #8-22
Background” notes on Reasoning and
Proof, Angle Relationships Given
Parallel Lines, Slopes of Parallel and
Perpendicular Lines, Connecting
Algebra and Geometry
(b) Read p.115-116; do p.118: #1-7
Vocabulary:
Conditional
Hypothesis
Conclusion
Truth value
Converse
Biconditional
Deductive reasoning
Law of Detachment
Law of Syllogism
Reflexive Property
Symmetric Property
Transitive Property
Theorem
Paragraph Proof
Transversal
Alternate interior angles
Same-side interior angles
Corresponding angles
Two-column proof
Assignment: Read p.122125; do p.125: #1-24