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What is your angle ? (activity 2)

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What is your angle ?(activity 2)

- Please research “what is your angle?”
- Find the relationship between angles and sides?
- Find different triangles.
- Avaliable web sites:
Nettrekker.com

- 1. Cut out the four triangles from
Figure 1.

- 2. Compare the attributes of ΔABC , ΔDEF and ΔGHI ; list the similarities and differences
- 3. If each square measures 1 square centimeter, then what is the measure of the lengths of the sides of the following triangles?

- 4. Set up ratios of the long leg to the short leg of ΔABC and the long leg to short leg of ΔDEF .Determine if these ratios are equal.
- 5. Set up ratios of the long leg to the hypotenuse of ΔABC and the long leg to the hypotenuse of ΔDEF . Determine if these ratios are equal.

- 6. Set up ratios of the short leg to the hypotenuse of ΔABC and the short leg to the hypotenuse of ΔDEF . Determine if these ratios are equal.
- 7. Repeat steps 4-6 with ΔABC and ΔGHI .
- 8. Repeat steps 4-6 with ΔDEF and ΔGHI .
- 9. Summarize what you have discovered about the angles and sides of ΔABC , ΔDEF , and ΔGHI

- 10. Now compare the attributes of triangle ΔJKL to the attributes of the other three triangles. What do you notice? Is there anything that is the same? Is there anything that is different?
- 11. Look at the following pairs of triangles. Determine if each pair of triangles is similar.

- 12. What do you notice about the angles in each pair of triangles?
- 13. The investigation explored a postulate called the Angle-Angle Similarity Postulate for triangles. Make a conjecture about what you think this postulate would say.
- 14. Explain why we are allowed to call it the Angle-Angle Similarity postulate and do not have
to call it the Angle-Angle-Angle Similarity Postulate. (MTC math TEKS connections Geometry Student Lessons)

- Practice or Homework:
- http://argyll.epsb.ca/jreed/math9/strand3/triangle_congruent.htm
- http://www.analyzemath.com/Geometry/similar_triangles.html
- http://www.analyzemath.com/Geometry/similar_triangle_problems.html
- http://my.hrw.com/math06_07/nsmedia/homework_help/msm3/msm3_ch05_07_homeworkhelp.html

- http://my.hrw.com/math06_07/nsmedia/homework_help/msm3/msm3_ch05_07_homeworkhelp.html
- Similar Triangles

- http://www.analyzemath.com/Geometry/similar_triangle_problems.html

- Texas A&M University (College of Education and Human Development) Funded by the Texas Education Agency MTC math TEKS connections Geometry student lessons