Proving Lines are Parallel

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14

Tags

CCSS.HSG.CO.C.9

What value of x proves that line p is parallel to line r?

• 14
• 12.5
• 15
• 25

Tags

CCSS.8.G.A.5

If a // b and c // d in the figure below, then what is the value of x?

• 47
• 57
• 133
• 143

Tags

CCSS.8.G.A.5

Line v is a transversal.  Which is a true statement?

• w // x and x // y
• w // x and y // z
• w // y and x // z
• w // z and x // y

Tags

CCSS.8.G.A.5

Which reason explains why the two lines are parallel?

• Corresponding Angles Converse

• Alt. Interior Angles Converse

• Alt. Exterior Angles Converse

• Consecutive Int. Angles Converse

• Not Enough Information to Prove Parallel

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Which reason explains why the two lines are parallel?

• Corresponding Angles Converse

• Alt. Interior Angles Converse

• Alt. Exterior Angles Converse

• Not Enough Information to Prove Parallel

• Vertical Angles Theorem

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Tags

CCSS.HSG.CO.C.9

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Tags

CCSS.8.G.A.5

13) 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.HSG.CO.C.9