Proving Parallel Lines and Transversal Theorems

Parallel Lines Cut by a Transversal & Parallel Line Proofs

LO: Identify congruent angles when a transversal intersects parallel lines

Reminder:

OPENING ASSESSMENT

Multiple Choice

$$\angle\ Q\ and\ \angle\ B\ \ are...$$  

• Alternate Interior Angles

• Consecutive Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Multiple Choice

$$If\ \angle\ P\ measures\ 60\degree,\ what\ is\ the\ measure\ of\ \angle\ C\ ?$$  

• $$30\degree$$  

• $$60\degree$$  

• $$120\degree$$  

• $$180\degree$$  

Multiple Choice

$$If\angle\ B\ measures\ 120\degree,\ find\ the\ measure\ of\ \angle\ Q.$$  

• $$120\degree$$  

• $$80\degree$$  

• $$60\degree$$  

• $$30\degree$$  

Multiple Choice

$$\angle\ S\ and\ \angle\ A\ are...$$  

• Alternate Interior Angles

• Consecutive Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Multiple Choice

 Identify the correct statement.

• ∠C = 116°

• ∠C = 64°

• ∠C = 180°

• ∠C = 26°

Multiple Choice

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

Multiple Choice

What is the reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

Multiple Choice

What is the reason for Statement 2?

• Corresponding Angles Postulate

• Vertical Angles Theorem

• Same-side Interior Angles Theorem

• Alternate Exterior Angles Theorem

Multiple Choice

What is the reason for Statement 4 to complete the proof?

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

Multiple Choice

What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

Multiple Choice

What is the reason for Statement 3?

• Vertical Angles Theorem

• Transitive Property of Congruence

• Converse of Corresponding Angles Theorem

Multiple Choice

What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

Multiple Choice

What is the REASON for Statement #4?

• Substitution Property

• Distributive Property

• Transitive Property

• Addition Property

Multiple Choice

What is the reason?

• Definition of Complementary

• Definition of 180 

• Definition of supplementary

• Angle Addition

Multiple Choice

Find the measure of angle 1.

• 28^o

• 136^o

• 44^o

• 6^o

Multiple Choice

Which is a pair of corresponding angles?

• ∠4 and ∠3

• ∠4 and ∠1

• ∠4 and ∠2

• ∠4 and ∠8

Multiple Choice

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

• 43

• 37

• 143

• 37