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Exploring Similar Triangles: Conditions and Applications

This presentation delves into the conditions under which two triangles are considered similar. It emphasizes the importance of congruent angles and parallel sides, demonstrating how transversal lines can create similar triangles. Through various examples, including right triangles, participants will learn to identify relationships and apply these concepts in geometric scenarios. Designed for students of East Los Angeles College, this resource aims to enhance understanding of triangle similarity in a clear and engaging manner.

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Exploring Similar Triangles: Conditions and Applications

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  1. Similar Triangles II Prepared by Title V Staff:Daniel Judge, InstructorKen Saita, Program SpecialistEast Los Angeles College Click one of the buttons below or press the enter key BACK NEXT EXIT © 2002 East Los Angeles College. All rights reserved.

  2. Mathematicians have been able to show that two triangles, under certain conditions, are similar. Consider the following. . . BACK NEXT EXIT

  3. If two pairs of corresponding angles are congruent BACK NEXT EXIT

  4. If two vertical angles and a pair of corresponding sides opposite the angles are parallel ( ), then are similar. BACK NEXT EXIT

  5. The following situations have to do with using transversals to create similar triangles. BACK NEXT EXIT

  6. A X BACK NEXT EXIT

  7. Now,choose a point B on and a point Y on . B Y A X BACK NEXT EXIT

  8. Choose point C and Z on . Draw a line from B to C and a line through Y that is parallel to . B Y A C X Z BACK NEXT EXIT

  9. Q: Are the following triangles similar if Answer-- Yes, don’t discriminate against right triangles! BACK NEXT EXIT

  10. Consider another transversal, BACK NEXT EXIT

  11. Now, BACK NEXT EXIT

  12. Q: Are and similar? BACK NEXT EXIT

  13. Answer--Yes, don’t discriminate against right triangles! BACK NEXT EXIT

  14. End of Similar Triangles IITitle V East Los Angeles College1301 Avenida Cesar ChavezMonterey Park, CA 91754Phone: (323) 265-8784Email Us At:menteprog@hotmail.comOur Website:http://www.matematicamente.org BACK NEXT EXIT

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