Properties of Parallel Lines

3.2 Prove Lines are Parallel

Fill in the Blanks

Multiple Choice

Select the figure that makes lines r and t parallel.

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

• 14

• 12.5

• 15

• 25

Multiple Choice

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

Multiple Choice

Find the value of y so that  $$r\parallel s$$  

• 45

• 12

• 47.5

• None of the above

Multiple Choice

Find the value of x that makes  $$m\parallel n$$  

• 45

• 5

• 15

• None of the above

Multiple Choice

Which of the following is the transitive property of parallel lines?

• If a=b, and b=c, then a=c

• if a || b, and b || c, then a || c.

• All lines are parallel

Multiple Select

Determine which rays are parallel:

• $$\overline{AE}$$ and $$\overline{CH}$$

• $$\overline{EB}\ and\ \overline{HG}$$

• $$\overline{EB}\ and\ \overline{HD}$$

• $$\overline{FE}\ and\ \overline{HC}$$

Multiple Choice

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate