Parallel Line Proofs

Statement Reason

1. m ll n 1. Given

2. 2.​ (a)  

3. 3.​ (b)  

4. 4. ∠4 ≅ ∠6 4.​ (c)  

• ∠4 = ∠6
• Given

• Definition of Congruence
• Vertical Angles Theorem
• Corresponding Angles Postulate
• Transitive

Tags

CCSS.8.G.A.5

Analogy

Transitive is to Congruence, as Substitution is to ???

• Equality

• Congruence

• None of the above

• I don't Know

Tags

CCSS.8.G.A.2

2.​ (a)  

3.​ (b)  

4. 4.​ (c)  

5. 5.​ (d)  

6. 6.​ ​ (e)  

7. 7. Definition of Supplementary

• Linear Pair
• Transitive
• Same-Side Interior Angles Postulate
• Definition of Supplementary
• Vertical Angles Theorem
• Definition of Congruence
• Given
• Substitution

Tags

CCSS.7.G.B.5

1.​ (a)  

2.​ (b)  

3.​ (c)  

4.​ (d)  

• Substitution

• Converse Alternate Exterior Angles Theorem
• Same-Side Interior Angles Theorem Theorem
• Given
• Vertical Angles Theorem
• Transitive Property
• Converse Corresponding Angles Theorem

Tags

CCSS.8.G.A.5

2.​ (a)  

3.​ (b)  

4. 4.​ (c)  

5. 5.​ ​ (d)  

6. 6.​ (e)  

• Vertical Angles
• Linear Pair
• Same-Side Interior Angles
• Corresponding Angles
• Definition of Congruence
• ∠2 and ∠3 are Supplementary
• m∠2 + m∠3 = 180
• Substitution

Tags

CCSS.8.G.A.5

What is the relationship of ∠3 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-Side Interior Angles

• Vertical Angles

Tags

CCSS.8.G.A.5