- Students will apply the HL Congruence Theorem.
IV.NotesonAssessment
- Check student diagrams.
- Is the work accurately labeled with measurements?
- Did the students make note of the two triangles?
- Which postulate or theorem did the student use to prove congruency?
- Is the student aware of the properties of right triangles?
- Are the right triangles noted in the student’s work?
Using Congruent Triangles
I.SectionObjectives
- Apply various triangles congruence postulates and theorems.
- Know the ways in which you can prove parts of a triangle congruent.
- Find distances using Congruent Triangles.
- Use construction techniques to create Congruent Triangles.
II.ProblemSolvingActivity-TheKiteDesign
- Students will need chart paper, compasses, rulers and colored pencils.
- Here is the problem.
- “Jonas is working on designing a kite. He knows that for his kite to fly well, that it needs to be created with
four Congruent Triangles. Jonas starts by drawing a line segment that will serve as the center line of his kite.
Now he needs to draw in the four triangles. He can’t remember how to do it. - Your task is to use a compass and a straightedge to help Jonas design his kite.
- Remember to measure your work so that it is accurate.
- Here is the line segment that Jonas started with.
- Figure04.06.01
- Allow time for the students to work.
- When finished, the students can decorate their kites.
III.MeetingObjectives
- Students will apply various triangle congruence postulates and theorems.
- Students will use construction techniques to create Congruent Triangles.
- Students will show their work in a design.
IV.NotesonAssessment
- Leave students alone to work on this problem.
- If students are having trouble, refer them back to the text to follow the steps for the construction.
- Assess student work for accuracy and creativity.
- Provide feedback/correction when students are finished.
- Create a class display with the designs.
5.4. Congruent Triangles