Topic 7-8 Transversals, Angles and Parallel Lines

Topic 7-8 Transversals, Angles and Parallel Lines

School Year 2020-2021

Types of Angle Pairs

Vertical Angles

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same-Side Interior Angles

Finding x.

Algebra time!

Multiple Choice

Given the following two parallel lines that have been cut by a transversal.

Which two angles would be Alternate Exterior?

• 
  

  $\angle8$ and $\angle2$
  

• $\angle6$ and $\angle3$

• $\angle5$ and $\angle4$

• $\angle5$ and $\angle1$

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

•  $\angle4$  and $\angle8$  
  

•  $\angle7$  and $\angle5$  
  

•  $\angle1$  and  $\angle2$  
  

•  $\angle6$  and  $\angle5$  
  

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

•  $\angle3$  and $\angle8$  
  

•  $\angle7$  and $\angle2$  

•  $\angle7$  and $\angle8$  

•  $\angle4$  and $\angle8$  

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

•  $\angle1$  and  $\angle6$  

•  $\angle6$  and $\angle5$  

•  $\angle7$  and $\angle8$  

•  $\angle4$  and $\angle8$  

Multiple Choice

Given the two parallel lines cut by a transversal.

What is the vertical angle to  $\angle4$  ?

•  $\angle2$  

•  $\angle6$  
  

•  $\angle8$  
  

•  $\angle7$  
  

Multiple Choice

Supplementary angles add up to...

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

Complementary angles add up to...

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

 $Find\ m\angle6.$  

• 45

• 60

• 90

• 120

Multiple Choice

Given $m\angle1$  is 105°, what is the  $m\angle4?$  

•  $85\degree$  

•  $105\degree$  

•  $115\degree$  

•  $180\degree$  

Fill in the Blank

 $Find\ the\ m\angle1.$  

Fill in the Blank

Find the value of x.

Fill in the Blank

Find the value of x.

Fill in the Blank

 $Find\ the\ m\angle1.$  

Multiple Select

Select all the pairs that are alternate exterior angles.

• ∠5 and ∠4

• ∠1 and ∠7

• ∠2 and ∠8

• ∠8 and ∠1

• ∠4 and ∠6

Multiple Select

Select all the pairs that are alternate interior angles.

• ∠5 and ∠4

• ∠6 and ∠5

• ∠2 and ∠8

• ∠8 and ∠1

• ∠3 and ∠5

Fill in the Blank

What is the $m\angle3?$  

Open Ended

For the given figure, can you conclude that $r\parallel s$  ?  Explain.

Match

Match the following statement with its reason to complete the proof

• Given 

• Vertical Angles Theorem

• Transitive Property

• Converse of Corresponding Angles Postulate

<1 congruent to <2

<2 congruent to <3

<1 congruent to <3

m is parallel to n

• <1 congruent to <2

• <2 congruent to <3

• <1 congruent to <3

• m is parallel to n