Geometry, Teacher\'s Edition

Identify angles formed by two parallel lines and a non- perpendicular transversal.

Identify and use the Corresponding Angles Postulate.

Identify and use the Alternate Interior Angles Theorem.

Identify and use the Alternate Exterior Angles Theorem.

Identify and use the Consecutive Interior Angles Theorem.

II.ProblemSolvingActivity-AirportMap

For this problem solving activity, students are going to use an aerial map of Logan International Airport in
Boston, Massachusetts.

Students need to use the picture to draw their own version of the map.

Then using color, they need to identify the following:

In red, two parallel lines and a non- perpendicular transversal.

In blue- two corresponding angles

In green- two alternate interior angles

In orange- two alternate exterior angles

In purple- two consecutive interior angles

When finished, you can extend this by having the students use a protractor to determine angle measures.

Allow time for students to share their work.

III.MeetingObjectives

Students will identify the different angles created by parallel lines and transversals.

Students will also identify the types of angles indentified in the different theorems.

IV.NotesonAssessment

Assess student understanding through student sharing.

Look at each student’s diagram.

Is it labeled correctly?

Did the students follow directions?

Is there anything missing?

Does the diagram demonstrate that students understand the different angle pairs?

Proving Lines Parallel

I.SectionObjectives

Identify and use the Converse of the Corresponding Angles Postulate.

Identify and use the Converse of Alternate Interior Angles Theorem.

Identify and use the Converse of Alternate Exterior Angles Theorem.

Identify and use the Converse of Consecutive Interior Angles Theorem.

Identify and use the Parallel Lines Property.

II.ProblemSolvingActivity-ForestTower

Students are going to design a tower to be used in National Park by a Forest Ranger.

5.3. Parallel and Perpendicular Lines