Parallel Lines Theorems

Given ∠2 ≅ ∠6, how do you know that lines l and m are parallel. State the theorem.

Tags

CCSS.8.G.A.5

Given l ∥ m, how do you know that ∠1 ≅ ∠7 ? State the theorem.

Tags

CCSS.8.G.A.5

If lines l and m are parallel, then ∠6 and ∠3 are ____________.

Tags

CCSS.8.G.A.5

If ∠4 ≅ ∠6 , then lines l and m are ______________.

Tags

CCSS.8.G.A.5

Name the alternate interior angle to angle 3.

• 4

• 5

• 6

• 8

Tags

CCSS.8.G.A.5

If lines are parallel with a transversal, then these two angles are...

• Supplementary Angles

• Corresponding Angles

• Alternate Exterior Angles

• Parallel Angles

Tags

CCSS.8.G.A.5

Find the value of x.

• 20

• 135

• 31

• 145

Tags

CCSS.8.G.A.5

Which could be used to prove the lines are parallel?

• Converse of Alternate Interior Angles Theorem

• Converse of Same-Side Interior Angles Theorem

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

Tags

CCSS.8.G.A.5

Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6 

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Tags

CCSS.8.G.A.5

Which of the following relationship proves that j is parallel to k?

• ∠3 and ∠4 are supplementary

• ∠4 and ∠5 are supplementary

• ∠1 ≅ ∠3

• ∠2 ≅ ∠3

Tags

CCSS.8.G.A.5