Parallel and Perpendicular Line Proofs

• Linear Pair Perpendicular Theorem

• Lines Perpendicular to a Transversal Theorem

• Corresponding Angles Theorem

• Definition of Congruent Angles

Theorem 3-11: Perpendicular Transversal Theorem

In a plane, if a line is perpendicular to one of two parallel lines, then it is also _____ to the other.

• Parallel

• Perpendicular

• Not Enough Information

• Skew

Determine which lines, if any, must be parallel.

• None of the lines are parallel.

If ∠1 ≅ ∠2, what can you conclude?

• AB | | AC 

• ∠1 ≅ ∠2

• No conclusion can be made.

Based on the diagram which statement is FALSE?

Determine which lines, if any, must be parallel.

• None of the lines are parallel.

Determine which lines, if any, must be parallel.

• None of the lines are parallel.

• 40

• 20

• 180

• 360

• 30

• 15

• 55

• 180

• You cannot prove.

• You can with Corresponding Angles Converse

• You can with Alternate Interior Angles Converse

• You can with Alternate Exterior Angles Converse

• You can with Consecutive Interior Angles Converse