Proofs with Parallel Lines

What is the reason for #1?

• Prove

• Given

• Transitive

• Vertical

What is the reason for ?

• Corresponding Angles are ≅

• Given

• Transitive

• Vertical Angles are ≅

What is the reason for ?

• Definition of Supplementary

• Same Side Interior Angles Converse Theorem

• Prove

• Linear Pair Postulate

What is the reason for ?

• Linear Pairs are Supplementary

• Same Side Angles are supplementary

• Substitution

• Vertical Angles are ≅

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

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25

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

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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