Geometry, Teacher\'s Edition

II.Cross-curricular-RollerCoasters

Use the following image from Wikipedia for the first part of this lesson.

This is Figure02.07.01

Review the segment and angle congruence theorems from the lesson in the text.

Make a list of them on the board.

Then distribute this image to the students.

Students are going to work in pairs or small groups.

They need to use the image to explain why segment and angle congruence theorems are important to roller
coaster design.

Allow time for the students to work on this.

This is a written explanation and should include the definitions from the text applied in a real life context.

Allow time for the students to share their work when finished.

III.TechnologyIntegration

Have students complete a websearch of roller coasters.

Ask each student to select one that best uses the segment and angle congruence theorems.

Then conduct a large class discussion on this.

Be sure that the students see how the theorems apply in real life.

If segments and angles weren’t congruent, how would this impact the operations of the roller coaster?

IV.NotesonAssessment

Assessment is completed through class discussion.

Observe students as they work and listen to their ideas in the discussion.

Are the students connecting the theorems to the design?

Help them to make the connections.

Proofs about Angle Pairs

I.SectionObjectives

State theorems about special pairs of angles.

Understand proofs of the theorems about special pairs of angles.

Apply the theorems in problem solving.

II.Cross-curricular-TheoremsinArt

Students are going to use art to prove the different theorems.

Use the following image from this website for this activity. This is Figure 02.08.01.

Then ask the students to come up with an example of each of the following theorems in this painting.

Have students discuss their findings in small groups.

Chapter 3. Geometry TE - Enrichment