7.1 angles relationships and parallel lines

Multiple Choice

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

Multiple Choice

2) 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

3) 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

4) 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

5) True or False.

If the following parallel lines are cut by a transversal, would 
$$\angle2$$  and  $$\angle6$$   be corresponding?

• True

• False

Multiple Choice

6) 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

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

True or False, $$\angle6$$  and $$\angle4$$  are vertical angles?

• True

• False

Multiple Choice

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

$$\angle1$$  and which angle make up Alternate Interior angles?

• $$\angle2$$  
  

• $$\angle6$$  
  

• $$\angle5$$  

• $$\angle3$$  

Multiple Select

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

Choose all the options that represent corresponding angles.

• $$\angle5$$  and  $$\angle3$$  
  

• $$\angle3$$  and $$\angle8$$  
  

• $$\angle2$$  and $$\angle7$$  
  

• $$\angle6$$  and $$\angle4$$  
  

Fill in the Blank

10)Given the two parallel lines cute by a transversal,

What is the measure of  $$\angle5$$  ?

Fill in the Blank

11) Given the two parallel lines cut by a transversal,

What is the measure of $$\angle4$$  if  $$m\angle8=76\degree$$  ?

Drag and Drop

Given parallel lines and a transveral...

If m<1 is 40, The m<2 is ​

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because all ​

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sum up to ​

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, so to find all the ​

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all I need to do is ​

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.

Drag these tiles and drop them in the correct blank above

140

linear pairs

180

congruent obtuse angles

180-40

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Fill in the Blank

What is the value of x?

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Fill in the Blank

What is the value of x?

Fill in the Blank

A line that passes through parallel lines is called a ______________.

Fill in the Blank

Find the value of x.

Multiple Choice

What is the relationship of the angles?

• Alternate Interior
• Alternate Exterior
• Corresponding
• Same-Side Interior

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect

Multiple Choice

What are vertical angles?

• Angles that are adjacent to each other
• Angles that add up to 180°
• Angles that are opposite of each other when lines intersect
• Angles that add up to 90°

Fill in the Blank

11) Given the two parallel lines cut by a transversal,

What is the measure of $$\angle4$$  if  $$m\angle8=76\degree$$  ?

Multiple Select

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

Choose all the options that represent corresponding angles.

• $$\angle5$$  and  $$\angle3$$  
  

• $$\angle3$$  and $$\angle8$$  
  

• $$\angle2$$  and $$\angle7$$  
  

• $$\angle6$$  and $$\angle4$$  
  

Fill in the Blank

How are these angles related?

Fill in the Blank

The complement of an angle that is 25^o. What is the measure of the angle?

Angle Relationships Review

​

Using Angle Relationships

• Identify what type of angles are being shown.

• Determine what the relationship is (add to 180, add to 90, equal, etc.)

• Set up an equation using the relationship.

• Solve for the unknown.

Vertical Angles

Two angles that are across from each other at the same vertex (or point). These angles are always congruent (meaning equal).

Complementary Angles

Two angles that are side by side and that together form a right angle. These angles always add up to equal 90.

Note: The right angle must be marked with a box.

Multiple Choice

Angle 1 = 27^o
Find the measure of angle 4

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

What it the measurement for angle 9?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

What it the measurement for angle 1?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

Classify angles 1 and 2

• corresponding angles

• alternate exterior algles

• vertical angles

• alternate interior angles

• supplementary angles

Multiple Choice

Classify angles 3 and 7

• corresponding angles

• alternate exterior algles

• vertical angles

• alternate interior angles

• supplementary angles

Multiple Choice

Find the value of x

• -5
• 28
• 19
• -3

Multiple Choice

Select the statement that is true if angle 1 is 93^o

• Angle 2 is 93^o
• Angle 7 is 93^o
• Angle 3 is 87^o
• Angle 8 is 93^o

Multiple Choice

What is the value of x?

• 35
• 25
• 75

Multiple Choice

If m∠1 = 30°, then m∠3 = 

• 30°
• 60°
• 150°
• undetermined

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

Solve for y.

• y = 20
• y = 120
• y = 60
• y = 10

Multiple Choice

What is the Angle Relationship? 

• Alternate Interior
• Alternate Exterior
• Corresponding
• Same Side Interior

Multiple Choice

Angle 8 & 15 have what type of relationship?

• Alternate Exterior

• Alternate Interior

• Corresponding

• Vertical

• There is no relationship

Multiple Choice

Angle 3 & 7 have what relationship?

• Alternate Interior

• Alternate Exterior

• Corresponding

• Supplementary

• Vertical

Multiple Choice

Same Side Interior angles...

• Add to be 180

• Are congruent

• Add to be 90

• Are equal

Multiple Choice

2 angles with the same relationship to the parallel lines and transversal...

• Alternate Interior

• Alternate Exterior

• Corresponding

• Supplementary

Multiple Choice

Angles on opposite sides of the transversal, each inside the parallel lines, each touching a different parallel line...

• Corresponding

• Alternate Interior

• Alternate Exterior

• Vertical