Proofs for Parallel Lines Cut by Transversal

What is the relationship of ∠4 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Def of Alt Ext Angles

Alt Ext Angle Thm

Alt Ext Angle Convese

Alt Int Angle Thm

• Def of Alt Ext Angles

• Alt Ext Angle Thm

• Alt Ext Angle Convese

• Alt Int Angle Thm

What is the correct reason for statement #1?

• Given

• Given by diagram

• If two parallel lines are cut by a transversal, then corresponding angles are congruent.

• If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary.

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

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

What is the reason?

• Definition of Corresponding Angles

• Corresponding Angles Postulate

• Corresponding Angles Convese

• Consecutive Interior Angles Theorem

If parallel lines are cut by a transversal, alternate interior angles are congruent.

• True

• False

Angles 3 and 5 are congruent because they are ______.

Corresponding angles are supplementary if two parallel lines are cut by a transversal

• True

• False

Solve for x.

• 7

• -4

• 8

• 9