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

Tags

CCSS.8.G.A.5

What is the relationship of ∠3 and ∠4?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

Solve for the variable.

• x = 8

• x = 4

• x = 4.8

• x = 5.6

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

• Parallel Lines

• Not Parallel Lines

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

• 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

Tags

CCSS.8.G.A.5

What is the value of x?

Tags

CCSS.7.G.B.5

Assume the following lines are parallel.

Tags

CCSS.8.G.A.5

Assume the following lines are parallel.

Tags

CCSS.8.G.A.5