Intro to Parallel Line Proofs

Which parallel lines are proven parallel if Angles 3 and 16 are used?

• none

• s & t

• l & m

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Consider the Diagram with Parallel Planes D and N. Select all the True Statements.

• F, O, and R are coplanar in D.

• ray MC and ray CA form a 90^o angle.

• Using the Segment Addition Postulate,

  FO+OC=FA.

• line AF intersects both D and N perpendicularly.

If two lines are cut by a transversal, how might you show that the two lines are parallel?

• Show that the corresponding angles are congruent

• Show that the vertical angles are congruent

• Show that the alternate interior angles are congruent

• Show that the corresponding angles are supplementary

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

2) Which statement represents what you have to prove from the question?

• 
• 
• 

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

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

What is the relationship of ∠4 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair