Geometry of Parallel and Skew Lines

Angles and Parallel Lines

What is a transversal?

It is a line that intersects at least two other lines.

Multiple Choice

What is a transversal?

• A line that intersects at least two other lines.

• A line that intersects another line.

• A line parallel to another line.

• A line that is skew to another line.

This is an example of an transversal intersecting two lines.

Multiple Select

Which image(s) represent(s) the definition of a transversal?

(SELECT ALL THAT APPLY)

Corresponding Angles

Corresponding angles are angle that are in the same location but in different intersections.

Multiple Select

Which images represent corresponding angles?

Alternate Interior Angles

Multiple Select

Select ALL of the images that represent alternate interior angles.

Alternate Exterior Angles

Multiple Select

Select ALL of the images that show alternate exterior angles.

Multiple Choice

What is the relationship of the angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical

Multiple Choice

What is the Angle Relationship

• Alternate Interior
• Alternate Exterior
• Corresponding
• Consecutive Interior

Multiple Choice

What is the Angle Relationship?

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

Multiple Choice

What is the relationship of the Angles

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

Now let's try some harder problems!

Multiple Choice

∠A and ∠D are in what relationship?

• Supplementary

• Vertical

• Alternate Interior

• Alternate exterior

Multiple Choice

What is one special fact about vertical angles?

• They are congruent, or have the same measure.
• They are NOT congruent, and have different measures.

Multiple Choice

∠D and ∠H are in what type of relationship?

• Supplementary

• Vertical

• Corresponding

• Alternate exterior

Multiple Choice

∠B and ∠G are in what type of relationship?

• Supplementary

• Vertical

• Alternate interior

• Alternate exterior

Multiple Choice

∠C and ∠F are in what type of relationship?

• Supplementary

• Vertical

• Alternate interior

• Alternate exterior

Multiple Choice

Which pair of angles represents alternate exterior angles?

• $$\angle4$$  and $$\angle8$$  

• $$\angle7$$  and $$\angle5$$  

• $$\angle1$$  and  $$\angle2$$  

• $$\angle6$$  and  $$\angle5$$  

Multiple Choice

Which pair of angles represents alternate interior angles?

• $$\angle3$$  and $$\angle8$$  

• $$\angle7$$  and $$\angle2$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

Multiple Choice

Which pair of angles represents corresponding angles?

• $$\angle1$$  and  $$\angle6$$  

• $$\angle6$$  and $$\angle5$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

The word "congruent' means _____.

• Equal
• Opposite
• Obtuse
• Acute

When the lines are parallel, corresponding angles are CONGRUENT.

Multiple Choice

If lines are parallel, then Corresponding angles are _____________

• congruent
• parallel
• complementary
• supplementary

Multiple Choice

State the angle relationship and find the measure of angle 3

• Alternate Interior
  50
• Alternate Interior
  130
• Corresponding
  130
• Corresponding
  50

When the lines are parallel, alternate interior angles are CONGRUENT.

Multiple Choice

If lines are parallel, then alternate interior angles are _____________

• congruent
• parallel
• complementary
• supplementary

Multiple Choice

State the angle relationship and find the measure of angle 3

• Alternate Exterior
  94
• Alternate Exterior
  86
• Alternate Interior
  86
• Alternate Interior
  94

When the lines are parallel, alternate exterior angles are CONGRUENT.

Multiple Choice

If lines are parallel, then alternate exterior angles are _____________

• congruent
• parallel
• complementary
• supplementary

Multiple Choice

State the angle relationship and find the measure of angle 1

• Alternate Exterior

  80

• Alternate Exterior

  100

• Alternate Interior

  100

• Alternate Interior

  80

Now let's try some more examples!

Multiple Choice

State the angle relationship and find the measure of angle 1

• Alternate Interior

  37

• Alternate Interior

  143

• Corresponding

  143

• Corresponding

  37

Multiple Choice

State the angle relationship and find the measure of angle 2

• Alternate Interior
  90
• Alternate Exterior
  90
• Corresponding
  90
• Same Side Interior
  90

Multiple Choice

State the angle relationship and find the measure of x.

• Alternate exterior

  x = 95

• Alternate exterior

  x = 85

• Alternate interior

  x = 85

• Alternate interior

  x = 95

Multiple Choice

If the m∠A = 125°, then what is the m∠C?

• 125°

• 55°

• 65°

• 45°

Fill in the Blanks

What is the measure of  $\angle5$  ?

Fill in the Blanks

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

Multiple Choice

Solve for x.

• 4

• 2

• 6

• 7

Multiple Choice

Solve for x and give the vocabulary word.

• 10 ; consecutive interior angles

• -11 ; alternate interior angles

• 10 ; corresponding angles

• 9 ; consecutive interior angels