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Understanding Isosceles and Equilateral Triangles: Theorems and Properties

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This lesson focuses on isosceles and equilateral triangles, guiding students to prove important theorems and apply relevant properties. Students will learn that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent and vice versa. Additionally, they will understand the relationship between equilateral and equiangular triangles, confirming that an equilateral triangle is also equiangular. Engaging examples and practice worksheets will solidify their understanding of these fundamental geometric concepts.

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Understanding Isosceles and Equilateral Triangles: Theorems and Properties

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  1. Geometry 4-8 Isosceles and Equilateral Triangles

  2. Learning Targets • Students should be able to… • Prove theorems about isosceles and equilateral triangles. • Apply properties of isosceles and equilateral triangles.

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Homework Check

  7. Vocabulary A B C

  8. Vocabulary A B C A B C

  9. Vocabulary A B C A B C A B C

  10. Vocabulary A B C A B C A B C A B C

  11. Theorems A If 2 sides of a are congruent, then the angles opposite the sides are B C A If 2 angles of a are congruent, then the sides opposite the angles are B C

  12. Theorems A If a triangle is equilateral, then the triangle equiangular. Equilateral -> Equiangular B C A If a triangle is equiangular, then the triangle equilateral. Equiangular -> Equilateral B C

  13. Examples

  14. Examples

  15. Examples

  16. Examples

  17. Examples

  18. Examples

  19. Practice A WS if needed

  20. Practice A WS

  21. Practice A WS

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