Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

11 x1 t07 05 similar triangles (2012)

682 views

Published on

Published in: Education, Technology
  • Be the first to comment

  • Be the first to like this

11 x1 t07 05 similar triangles (2012)

  1. 1. Similar Triangles
  2. 2. Similar TrianglesTESTS
  3. 3. Similar Triangles TESTS(1) Corresponding sides are in proportion (SSS – with ratio a:b)
  4. 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. 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. 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. 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. 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. 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. 10. A A24 cm 36 cm 15 cm B C D E
  11. 11. A A24 cm 36 cm 15 cm B C D E AD AE  ratio of sides in |||  s  AB AC
  12. 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. 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. 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. 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. 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. 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

×