Google Classroom
GeoGebraGeoGebra Classroom
GeoGebra

Angle Pair Relationships

Author:Danielle Williams

Parallel Lines Cut by a Transversal

Yesterday we learned the five major angle pairs that are created when two lines are cut by a transversal. Below you will see that we have two lines and a transversal.

Click on point B and move it around. What do you notice?

Now you will see that has been measured. Measure the angle that creates a set of corresponding angles. To do this, click on the angle tool (Toolbar Image) and click the three points that form the angle.

What do you notice? Is what you noticed still true if you move point B?

Now you will see that has been measured. Measure the angle that creates a pair of Alternate Exterior Angles.

What do you notice about these angles? Is what you noticed still true if you move point B?

Now you will see that has been measured. Measure the angle that creates a pair of Alternate Interior Angles.

What do you notice about these angles? Is what you noticed still true if you move point B?

Next, measure a set of Consecutive (same-side) Exterior Angles.

What do you notice about these angles? Is what you noticed still true if you move point B?

Lastly, measure a set of Consecutive(same-side) Interior Angles.

What do you notice about these angles? Is what you noticed still true if you move point B?

By completing this activity you should have noticed that two parallel lines are cut by a transversal create angle pairs with specific relationships. Some angle pairs were equal (congruent) while others added up to equal 180 degrees (supplementary). Which angle pairs are congruent when created by parallel lines and a transversal?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Which angle pairs are supplementary when created by parallel lines and a transversal?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)
Now let's look at angle pairs that are created by only two lines instead of three.

What do we call this angle pair?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

What do you notice about these angles? Is what you noticed still true if you move point B around?

What do we call this angle pair?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

What do you notice about these angles? Is what you notice still true if you move point B?

What do you know about ? (select all that apply)

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Can you find the measure of the other three angles without using the Geogebra tool? Explain how.

Now use the angle tool to check your answers. Were you correct?

New Resources

Discover Resources

Discover Topics