#3.3 Proofs with Parallel Lines

Find the value of x that makes

 $s\parallel t$ . 

• 22

• 44

• 18

• 4

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Find the value of x that makes

$s\parallel t$ .

• 27

• 33

• 18

• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Is there enough information to prove

 $p\parallel q$  ? If yes, state the theorem you would use.

• Yes; Corresponding Angles Converse

• Yes, Alternate Interior Angles Converse

• Yes, Alternate Exterior Angles Converse

• No, there is not enough information

Tags

CCSS.HSG.CO.C.9

Is there enough information to prove

$p\parallel q$ ? If yes, state the theorem you would use.

• Yes; Corresponding Angles Converse

• Yes, Alternate Interior Angles Converse

• Yes, Alternate Exterior Angles Converse

• No, there is not enough information

Tags

CCSS.HSG.CO.C.9

Is there enough information to prove

 $m\parallel n$  ? If yes, state the theorem you would use.

• Yes; Corresponding Angles Converse

• Yes, Alternate Interior Angles Converse

• Yes, Alternate Exterior Angles Converse

• No, there is not enough information

Tags

CCSS.HSG.CO.C.9

Is there enough information to prove

 $p\parallel q$  ? If yes, state the theorem you would use.

• Yes; Corresponding Angles Converse

• Yes, Alternate Interior Angles Converse

• Yes, Alternate Exterior Angles Converse

• No, there is not enough information

Tags

CCSS.HSG.CO.C.9

Which statement below can be used to prove that

 $m\parallel l$  ?

•  $<2\cong<4$  

•  $<1$  and  $<2$  are supplementary

•  $<3\cong<5$  

•  $<7$  and $<8$  are supplementary

Tags

CCSS.HSG.CO.C.9

Given:  $p\parallel q$  and  $q\parallel r$ .

  How do you know that  $x=74\degree$  ?

• Transitive Property of Parallel Lines &  Alternate Interior Angles Theorem.

• Transitive Property of Parallel Lines & Alternate Exterior Angles Theorem

• Alternate Interior Angles Converse & Vertical Angles Congruence Theorem

• Alternate Exterior Angles Converse & Vertical Angles Congruence Theorem.

Tags

CCSS.HSG.CO.C.9

Statement: $<2\cong<4$  

Reason: ____________

• Vertical Angles Congruence Theorem

• Alternate Interior Angles Converse Theorem
  

• Transitive Property of Parallel Lines

• Corresponding Angles Converse Theorem

Tags

CCSS.HSG.CO.C.9

Which statement could be used to prove  $r\parallel s$  ?

•  $<6\cong<8$  
  

•  $<5\cong<4$  

•  $m<1+m<2=180\degree$  

•  $m<4+m<5=180\degree$  
  

Tags

CCSS.HSG.CO.C.9