Parallel Proof

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

• ∠1 ≅ ∠5 by the corresponding angles postulate

• ∠2 ≅ ∠4 by the alternate interior angles theorem

• ∠1 ≅ ∠2 by the definition of an angle bisector

• ∠3 and ∠5 are supplementary by the consecutive interior angles theorem

What is the relationship of ∠3 and ∠4?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

What statement can be made from the diagram using the Alternate Exterior Angles Theorem?

• ∠1 and ∠2 are supplementary

• m∠1 + m∠2 = 180°

• ∠1 ≅ ∠2

• m∠1 = m∠2

Solve for the variable.

• x = 8

• x = 4

• x = 4.8

• x = 5.6

Assume all lines are parallel and the appropriate angles are congruent. (pick 2)

• Parallel Lines

• Not Parallel Lines

• Parallel because corresponding angles are congruent

• Not parallel because same side interior angles are not 180

• Not parallel because these are vertical angles

• Parallel because inside exterior angles are congruent

What is the value of x?

Assume the following lines are parallel.

Assume the following lines are parallel.