Proofs Given Parallel Lines

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

• ∠1 and ∠2 are supplementary

• m∠1 + m∠2 = 180°

• ∠1 ≅ ∠2

• m∠1 = m∠2

Tags

CCSS.8.G.A.5

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• m∠2 + m∠3 = 180° by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior 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 Corresponding Angles Postulate?

• ∠1 and ∠2 are supplementary

• m∠1 + m∠2 = 180°

• ∠1 ≅ ∠2

• m∠1 = m∠2

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

What statement can be made from the diagram using the Consecutive Interior Angles Theorem?

• ∠1 and ∠2 are supplementary

• m∠1 + m∠2 = 180°

• ∠1 ≅ ∠2

• m∠1 = m∠2

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

• Transistive

• Substitution

• Def. of Cong.

Tags

CCSS.8.G.A.5

Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

Tags

CCSS.HSG.SRT.B.5

What is the statement for step 2?

Tags

CCSS.8.G.A.5