parallel lines proof day 4 · swbat: write proofs involving parallel and perpendicular lines , ∡...
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SWBAT: Write proofs involving Parallel and Perpendicular lines
Parallel Lines Proof Day 4
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
Given
∡𝐁𝐀𝐂 ≅ ∡𝑩𝑪𝑨 ∡𝐁𝐃𝐄 ≅ ∡𝑩𝑨𝑪
𝑫𝑬 ∥ 𝑨𝑪 Converse of Corresponding ∡ Thrm
Transitive (1,2)
SWBAT: Write proofs involving Parallel and Perpendicular lines
SWBAT: Write proofs involving Parallel and Perpendicular lines
SWBAT: Write proofs involving Parallel and Perpendicular lines
SWBAT: Write proofs involving Parallel and Perpendicular lines
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
2
1 a
b
q
Given: Lines a and b cut by transversal q. ∡𝟏 ≅ ∡𝟐
Prove:
𝒂 ∥ 𝒃
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
Given:
∡𝟏 ≅ ∡𝟐
Prove:
𝒂 ∥ 𝒃
∡𝟏 ≅ ∡𝟐 3
∡𝟏 ≅ ∡𝟑
∡𝟐 ≅ ∡𝟑
𝒂 ∥ 𝒃
Given
Vertical ∡′𝒔 ≅
Transitive (1,2)
Converse of Corresponding ∡ Thrm
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
Given
𝑨𝑩 ≅ 𝑪𝑫
∡𝐁𝐃𝐂 ≅ ∡𝑫𝑩𝑨
𝑫𝑩 ≅ 𝑫𝑩 𝜟𝑨𝑫𝑩 ≅ 𝜟𝑪𝑫𝑩
𝑨𝑫 ≅ 𝑪𝑩
∡𝐀𝐃𝐁 ≅ ∡𝑪𝑩𝑫
𝑨𝑫 ∥ 𝑩𝑪
Given
AIA Thrm
Reflexive
SAS (2,3,4)
CPCTC
CPCTC
Conv. Of AIA Thrm
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
Given
∡𝟏 ≅ ∡𝑨
∡𝟐 ≅ ∡𝑩 AIA Thrm
∡𝐀 ≅ ∡𝑩 Transitive (2,3)
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
Given
∡𝐂 ≅ ∡𝑪𝑩𝑬
∡𝐀 ≅ ∡𝑬𝑩𝑫
∡𝑪𝑩𝑬 + ∡𝑬𝑩𝑫 = ∡𝑪𝑩𝑫
∡𝑨 + ∡𝑪 = ∡𝑪𝑩𝑫
AIA Theorem
Corresponding ∡ Thrm
Partition Postulate
Substitution (2,3)
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
Parallel Lines Proof Day 5
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
,
SWBAT: Write proofs involving Parallel and Perpendicular lines
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