1. Module 5

1.27. Page 2

Mathematics 10-3 Module 5 Lesson 6

Module 5: Angles

 

Get Started

 

In this activity you will review the definitions of angles formed when two lines are intersected by a transversal.

 

Try This

 

Work with a partner, if possible.

 

Use the explore feature in “Exploring Parallel Lines—Explore It” to review the positions of each of the following angle pairs:

  • vertically opposite angles

  • corresponding angles

  • alternate angles

Select each of the angles A through H in turn. Use the animation slider to explore the position of the various pairs of angles.

 

Now check your understanding of angle pairs reviewed in “Exploring Parallel Lines—Explore It” by completing the following Self-Check questions.

 

Self-Check

 

Use this diagram to answer the following questions.

 

This illustration shows two parallel horizontal lines labelled line 1 and line 2. Line 1 is above line 2. A transversal intersects both lines, as it rises from the lower left of the illustration to the upper right. The angles formed between the transversal and line 1 are labelled 1, 2, 3, and 4, starting in the upper right and proceeding in a counterclockwise direction. The angles formed between the transversal and line 2 are labelled 5, 6, 7, and 8, starting in the upper right and proceeding in a counterclockwise direction.

 

SC 1. Name the pairs of vertically opposite angles.

 

SC 2. Name the pairs of corresponding angles.

 

SC 3. Name the pairs of alternate interior angles.

 

SC 4. Name the pairs of alternate exterior angles.

 

SC 5. If line 1 is parallel to line 2, what can be said about each angle pair you named in your responses from SC 1 to SC 4?

 

Compare your answers.

 

If you need further review, go back to “Exploring Parallel Lines—Explore It.” Click on “use it” for a more complete review of these different angles.