Parallel lines (theorems and converses)

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\overline{AD}\parallel\overline{BC}$  
Conclusion:  $\angle9\cong\angle14$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\overline{AD}\parallel\overline{BC}$  
Conclusion:  $\angle3\cong\angle5$  Reason:???

• Not valid

• Corresponding angles postulate

• Corresponding angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\overline{AD}\parallel\overline{BC}$  
Conclusion:  $\angle19\cong\angle10$  Reason:???

• Not valid

• Corresponding angles postulate

• Corresponding angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle10\cong\angle12$  
Conclusion:  $\overline{AB}\parallel\overline{DC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle10\ and\ \angle11\$ are supplementary. 
Conclusion:  $\overline{AB}\parallel\overline{DC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle8\ \cong\ \angle13\$ 
Conclusion:  $\overline{AB}\parallel\overline{DC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle12\ \cong\ \angle15$ 
Conclusion:  $\overline{AD}\parallel\overline{BC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Corresponding angles postulate

• Corresponding angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle9\ \cong\ \angle14$ 
Conclusion:  $\overline{AD}\parallel\overline{BC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Corresponding angles postulate

• Corresponding angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\angle10\ \cong\ \angle15$ 
Conclusion:  $\overline{AD}\parallel\overline{BC}$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

Tags

CCSS.HSG.CO.C.9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

 $\overline{AD}\parallel\overline{BC}$ 
Conclusion:  $\angle5\cong\angle10$  Reason:???

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

Tags

CCSS.HSG.CO.C.9