Geometry 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

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

Tags

CCSS.8.G.A.5

When two parallel lines are cut by a transversal, all pairs of angles created are either _________ or _________.

• Congruent, supplementary

• Congruent, complementary

• Supplementary, complementary

• Corresponding, vertical

Tags

CCSS.8.G.A.5

What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

Tags

CCSS.8.G.A.5

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Tags

CCSS.8.G.A.5

If two lines are cut by a transversal, how might you show that the two lines are parallel?

• Show that the corresponding angles are congruent

• Show that the vertical angles are congruent

• Show that the alternate interior angles are congruent

• Show that the corresponding angles are supplementary

Tags

CCSS.8.G.A.5

What is the relationship of ∠4 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

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 is the relationship of ∠3 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Tags

CCSS.8.G.A.5