11 x1 t07 05 similar triangles (2012)

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  • 1. Similar Triangles
  • 2. Similar TrianglesTESTS
  • 3. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)
  • 4. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
  • 5. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)(3) All three angles are the same as the three angles in the other (AA)
  • 6. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)(3) All three angles are the same as the three angles in the other (AA) e.g. Find AD C 21 cm E15 cm A B D 24 cm
  • 7. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)(3) All three angles are the same as the three angles in the other (AA) e.g. Find AD C DAE  BAC common A 21 cm E15 cm A B D 24 cm
  • 8. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)(3) All three angles are the same as the three angles in the other (AA) e.g. Find AD C DAE  BAC common A 21 cm E EDA  CBA corresponding s, BC||DE  A15 cm A B D 24 cm
  • 9. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)(3) All three angles are the same as the three angles in the other (AA) e.g. Find AD C DAE  BAC common A 21 cm E EDA  CBA corresponding s, BC||DE  A15 cm DAE ||| BAC  AA A B D 24 cm
  • 10. A A24 cm 36 cm 15 cm B C D E
  • 11. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC
  • 12. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm
  • 13. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm In similar shapes;
  • 14. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm In similar shapes; If sides are in the ratio a : b
  • 15. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm In similar shapes; If sides are in the ratio a : b area is in the ratio a 2 : b 2
  • 16. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm In similar shapes; If sides are in the ratio a : b area is in the ratio a 2 : b 2 volume is in the ratio a 3 : b 3
  • 17. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC AD 15  24 36 AD  10cm In similar shapes; Exercise 8H; 2bd, 4ab, 6bc, If sides are in the ratio a : b 8, 12, 16, 18, 20, 21, 24* area is in the ratio a 2 : b 2 volume is in the ratio a 3 : b 3